{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["60606"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/2.jpg\" \/><\/center> <br\/> \u01afCLN(121212; 181818) = _input_","hint":"","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Ph\u00e2n t\u00edch 121212; 181818 ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ch\u1ecdn th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung <br\/> <b> B\u01b0\u1edbc 3: <\/b> L\u1eadp t\u00edch c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung, m\u1ed7i th\u1eeba s\u1ed1 l\u1ea5y v\u1edbi s\u1ed1 m\u0169 nh\u1ecf nh\u1ea5t <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $121212 = 2^2 . 3^2 . 7 . 13 . 37$ <br\/> $181818 = 2 . 3^3 . 7 . 13 . 37$ <br\/> Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung l\u00e0: 2; 3; 7; 13; 37 <br\/> $\\Rightarrow$ \u01afCLN(121212; 181818) = $2 . 3^2 . 7 . 13 . 37 = 60606$ <br\/> <span class=\"basic_pink\"> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 60606<\/span>"}]}],"id_ques":5778},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["12"],["36"],["84"],["60"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/4.jpg\" \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean a, b (a < b) bi\u1ebft a + b = 96; \u01afCLN(a, b) = 12. V\u1eady: <br\/> <table><tr><th>a<\/th><th>_input_<\/th><th>_input_<\/th><\/tr><tr><td>b<\/td><td>_input_<\/td><td>_input_<\/td><\/tr><\/table>","hint":"","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec \u01afCLN(a, b) = 12 n\u00ean a = 12m; b = 12n ($m , n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a < b n\u00ean m < n <br\/> Ta \u0111i t\u00ecm m, n sao cho 12m + 12n = 96 <br\/> Sau \u0111\u00f3 thay ng\u01b0\u1ee3c tr\u1edf l\u1ea1i \u0111\u1ec3 t\u00ecm a, b <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u00ec \u01afCLN(a , b) = 12 n\u00ean a = 12m; b = 12n ($m, n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a < b n\u00ean m < n <br\/> Theo b\u00e0i ra: a + b = 96 $\\Rightarrow$ 12m + 12n = 96 <br\/> $\\Rightarrow$ m + n = 8 <br\/> V\u00ec m < n v\u00e0 (m, n) = 1 n\u00ean: <br\/> <table><tr><th>m<\/th><th>1<\/th><th>3<\/th><\/tr><tr><td>n<\/td><td>7<\/td><td>5<\/td><\/tr><\/table> <br\/> $\\Rightarrow$ <table><tr><th>a<\/th><th>12<\/th><th>36<\/th><\/tr><tr><td>b<\/td><td>84<\/td><td>60<\/td><\/tr><\/table> <br\/> <span class=\"basic_pink\"> V\u1eady a = 12; b = 84 v\u00e0 a = 36; b = 60<\/span> "}]}],"id_ques":5779},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["112"],["16"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/10.jpg\" \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean a, b bi\u1ebft a - b = 96; \u01afCLN(a, b) = 16 (a < 150). <br\/> V\u1eady: a = _input_; b = _input_","hint":"","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec \u01afCLN(a, b) = 16 n\u00ean a = 16m; b = 16n ($m , n \\in \\mathbb{N}$); (m, n) = 1 <br\/> Ta \u0111i t\u00ecm m, n sao cho 16m - 16n = 96 v\u00e0 16m < 150 <br\/> Sau \u0111\u00f3 thay ng\u01b0\u1ee3c tr\u1edf l\u1ea1i \u0111\u1ec3 t\u00ecm a, b <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u00ec \u01afCLN(a , b) = 16 n\u00ean a = 16m; b = 16n ($m, n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a < 150 m\u00e0 b < a $\\Rightarrow$ b < 150 $\\Rightarrow$ 16m < 150; 16n < 150 <br\/> $\\Rightarrow$ n < m $\\leq$ 9 <br\/> Theo b\u00e0i ra: a - b = 96 $\\Rightarrow$ 16m - 16n = 96 <br\/> $\\Rightarrow$ m - n = 6 <br\/> V\u00ec n < m v\u00e0 (m, n) = 1 ta c\u00f3: <br\/> <table><tr><th>m<\/th><th>9 (lo\u1ea1i v\u00ec (m, n) = 1)<\/th><th>8 (lo\u1ea1i v\u00ec (m, n) = 1 )<\/th><th>7<\/th><\/tr><tr><td>n<\/td><td>3<\/td><td>2<\/td><td>1<\/td><\/tr><\/table> <br\/> V\u1edbi m = 7, n = 1 $\\Rightarrow$ a = 16 . 7 = 112 ; b = 16 . 1 = 16 <br\/> <span class=\"basic_pink\"> V\u1eady a = 112; b = 16<\/span> "}]}],"id_ques":5780},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["16"],["28"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/3.jpg\" \/><\/center> <br\/> T\u00ecm c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean a, b (a < b) bi\u1ebft ab = 448; \u01afCLN(a; b) = 4 (a $\\neq$ 4) <br\/> V\u1eady: a = _input_; b = _input_","hint":"","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec \u01afCLN(a, b) = 4 n\u00ean a = 4m; b = 4n ($m , n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a $\\neq$ 4 $\\Rightarrow$ m $\\neq$ 1<br\/> Ta \u0111i t\u00ecm m, n sao cho 4m . 4n = 448 v\u00e0 m $\\neq$ 1 <br\/> Sau \u0111\u00f3 thay ng\u01b0\u1ee3c tr\u1edf l\u1ea1i \u0111\u1ec3 t\u00ecm a, b <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u00ec \u01afCLN(a , b) = 4 n\u00ean a = 4m; b = 4n ($m, n \\in \\mathbb{N}$); (m, n) = 1 <br\/> V\u00ec a $\\neq$ 4 $\\Rightarrow$ m $\\neq$ 1 <br\/> Theo b\u00e0i ra ta c\u00f3: ab = 448 $\\Rightarrow$ 4m . 4n = 448 <br\/> $\\Rightarrow$ mn = 28 <br\/> V\u00ec a < b n\u00ean m < n ta c\u00f3: <br\/> <table><tr><th>m<\/th><th>1 (lo\u1ea1i v\u00ec m $\\neq$ 1)<\/th><th>2 (lo\u1ea1i v\u00ec (m,n) = 1)<\/th><th>4<\/th><\/tr><tr><td>n<\/td><td>28<\/td><td>14<\/td><td>7<\/td><\/tr><\/table> <br\/> V\u1edbi m = 4; n = 7 $\\Rightarrow$ a = 4 . 4 = 16; b = 4 . 7 = 28 <br\/> <span class=\"basic_pink\"> V\u1eady a = 16; b = 28<\/span> "}]}],"id_ques":5781},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["893"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean l\u1edbn nh\u1ea5t c\u00f3 3 ch\u1eef s\u1ed1 bi\u1ebft r\u1eb1ng khi chia s\u1ed1 \u0111\u00f3 cho 10 th\u00ec d\u01b0 3, chia cho 12 th\u00ec d\u01b0 5, chia cho 15 th\u00ec d\u01b0 8 v\u00e0 s\u1ed1 \u0111\u00f3 chia h\u1ebft cho 19.<br\/> V\u1eady s\u1ed1 \u0111\u00f3 l\u00e0: _input_","hint":"Ta \u0111i t\u00ecm s\u1ed1 x sao cho (x - 3) $\\vdots$ 10; (x - 5) $\\vdots$ 12; (x - 8) $\\vdots$ 15 v\u00e0 x $\\vdots$ 19 ","explain":" <span class=\"basic_left\"><span class=\"basic_green\">H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x, khi \u0111\u00f3 ta c\u00f3: <br\/> (x - 3) $\\vdots$ 10; (x - 5) $\\vdots$ 12; (x - 8) $\\vdots$ 15 v\u00e0 x $\\vdots$ 19 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Ta c\u1ea7n t\u00ecm s\u1ed1 a n\u00e0o \u0111\u00f3 sao cho (x + a) $\\vdots$ 10; (x + a) $\\vdots$ 12 v\u00e0 (x + a) $\\vdots$ 15 <br\/> Khi \u0111\u00f3 x + a $\\in$ \u01afC(10; 12; 15) <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ecm x th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n x $\\vdots$ 19 v\u00e0 x l\u1edbn nh\u1ea5t <\/span> <br\/><br\/> <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u00f3 3 ch\u1eef s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x <br\/> V\u00ec x chia 10 d\u01b0 3 n\u00ean (x - 3) $\\vdots$ 10 (1) <br\/> x chia 12 d\u01b0 5 n\u00ean (x - 5) $\\vdots$ 12 (2) <br\/> x chia 15 d\u01b0 8 n\u00ean (x - 8) $\\vdots$ 15 (3) <br\/> T\u1eeb (1); (2); (3) $\\Rightarrow$ (x + 7) $\\vdots$ 10; 12 v\u00e0 15 <br\/> $\\Rightarrow$ (x + 7) $\\in$ BC(10; 12; 15) = {60; 120; ...; 900; 960;...} <br\/> V\u00ec x c\u00f3 3 ch\u1eef s\u1ed1 $\\Rightarrow$ x $\\in$ {117; 173; ....; 893; 953} <br\/> V\u00ec 953 $\\not \\vdots$ 19; 893 $\\vdots$ 19 v\u00e0 v\u00ec x l\u1edbn nh\u1ea5t n\u00ean x = 893 <br\/> <span class=\"basic_pink\"> V\u1eady x = 893<\/span> "}]}],"id_ques":5782},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["25"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"<center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/12.jpg\" \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean n l\u1edbn nh\u1ea5t sao cho khi chia 364; 414 v\u00e0 539 cho n ta \u0111\u01b0\u1ee3c 3 s\u1ed1 d\u01b0 b\u1eb1ng nhau. <br\/> V\u1eady n = _input_","hint":"V\u00ec khi chia 364; 414 v\u00e0 539 chia n c\u00f3 c\u00f9ng s\u1ed1 d\u01b0 n\u00ean hi\u1ec7u c\u00e1c s\u1ed1 tr\u00ean chia h\u1ebft cho n","explain":" <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec khi chia 364; 414 v\u00e0 539 chia n c\u00f3 c\u00f9ng s\u1ed1 d\u01b0 n\u00ean ta c\u00f3: <br\/> 539 - 414 = 125 $\\vdots$ n <br\/> 539 - 364 = 175 $\\vdots$ n <br\/> 414 - 364 = 50 $\\vdots$ n <br\/> V\u00ec n l\u1edbn nh\u1ea5t $\\Rightarrow$ n = \u01afCLN(125; 175; 50) <br\/> Ta c\u00f3: $125 = 5^3$; $175 = 5^2 . 7$ ; $50 = 2 . 5^2$ <br\/> $\\Rightarrow$ n = \u01afCLN(125; 175; 50) = $5^2 = 25$ <br\/> V\u1eady s\u1ed1 t\u1ef1 nhi\u00ean n = 25 l\u1edbn nh\u1ea5t \u0111\u1ec3 364; 414 v\u00e0 539 chia 25 \u0111\u01b0\u1ee3c 3 s\u1ed1 d\u01b0 b\u1eb1ng nhau <br\/> <span class=\"basic_pink\"> V\u1eady n = 25 <\/span> "}]}],"id_ques":5783},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/13.jpg\" \/><\/center> <br\/> Cho A = \u01afCLN(135; 90; 60) <br\/> B = \u01afCLN(18; 30; 42) <br\/> C = \u01afCLN(45; 80; 120) <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang.","select":["A. A < B < C","B. A > B > C","C. A < C < B","D. B < C < A"],"hint":"T\u00ednh A = ?, B = ?, C = ? r\u1ed3i so s\u00e1nh","explain":"<span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span> <br\/>Ta c\u00f3: <br\/> $135 = 3^3 . 5$ ; $90 = 2 . 3^2 . 5$ ; $60 = 2^2 . 3 . 5$ <br\/> $\\Rightarrow$ A = \u01afCLN(135; 90; 60) = 3 . 5 = 15 <br\/> $18 = 2 . 3^2$ ; $30 = 2 . 3 . 5$ ; $42 = 2 . 3 . 7$ <br\/> $\\Rightarrow$ B = \u01afCLN(18; 30; 42) = 2 . 3 = 6 <br\/> $45 = 3^2 . 5$ ; $80 = 2^4 . 5$ ; $120 = 2^3 . 3 . 5$ <br\/> $\\Rightarrow$ C = \u01afCLN(45; 80; 120) = 5 <br\/> V\u00ec 15 > 6 > 5 n\u00ean A > B > C <br\/> <span class=\"basic_pink\"> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":4}]}],"id_ques":5784},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["<"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> <center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/5.jpg\" \/><\/center><br\/> \u01afCLN(150; 500; 750) _input_ \u01afCLN(375; 750)","hint":"","explain":" <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $150 = 2. 3 . 5^2$ ; $500 = 2^2 . 5^3$ ; $750 = 2 . 3 . 5^3$ <br\/> $\\Rightarrow$ \u01afCLN(150; 500; 750) = $2 . 5^2 = 50$ <br\/> V\u00ec 750 $\\vdots$ 375 $\\Rightarrow$ \u01afCLN(375; 750) = $3 . 5^3 = 375$ <br\/> V\u00ec 50 < 375 $\\Rightarrow$ \u01afCLN(150; 500; 750) < \u01afCLN(375; 750) <br\/> <span class=\"basic_pink\"> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: < <\/span> "}]}],"id_ques":5785},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["12"],["12"]]],"list":[{"point":10,"width":80,"content":"","type_input":"","ques":"C\u00f3 ba \u0111\u00e8n t\u00edn hi\u1ec7u, ch\u00fang ph\u00e1t s\u00e1ng c\u00f9ng m\u1ed9t l\u00fac v\u00e0o 8 gi\u1edd s\u00e1ng. \u0110\u00e8n th\u1ee9 nh\u1ea5t c\u1ee9 4 ph\u00fat ph\u00e1t s\u00e1ng m\u1ed9t l\u1ea7n, \u0111\u00e8n th\u1ee9 hai c\u1ee9 6 ph\u00fat ph\u00e1t s\u00e1ng m\u1ed9t l\u1ea7n, \u0111\u00e8n th\u1ee9 ba c\u1ee9 7 ph\u00fat ph\u00e1t s\u00e1ng m\u1ed9t l\u1ea7n. Th\u1eddi gian \u0111\u1ea7u ti\u00ean \u0111\u1ec3 c\u1ea3 3 \u0111\u00e8n c\u00f9ng ph\u00e1t s\u00e1ng sau m\u01b0\u1eddi hai gi\u1edd tr\u01b0a l\u00e0 l\u00fac m\u1ea5y gi\u1edd? <br\/> \u0110\u00e1p \u00e1n l\u00e0 _input_ gi\u1edd _input_ ph\u00fat","hint":"","explain":" <span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi th\u1eddi gian \u0111\u1ec3 c\u1ea3 3 \u0111\u00e8n l\u1ea1i c\u00f9ng ph\u00e1t s\u00e1ng l\u00e0 a (ph\u00fat) <br\/> V\u00ec \u0111\u00e8n th\u1ee9 nh\u1ea5t sau 4 ph\u00fat ph\u00e1t s\u00e1ng m\u1ed9t l\u1ea7n, \u0111\u00e8n th\u1ee9 hai 6 ph\u00fat ph\u00e1t s\u00e1ng 1 l\u1ea7n, \u0111\u00e8n th\u1ee9 ba 7 ph\u00fat ph\u00e1t s\u00e1ng m\u1ed9t l\u1ea7n <br\/> N\u00ean a $\\in$ BC(4; 6; 7) = {84; 168; 252; 336;...} <br\/> V\u1eady th\u1eddi gian \u00edt nh\u1ea5t \u0111\u1ec3 c\u1ea3 3 \u0111\u00e8n c\u00f9ng ph\u00e1t s\u00e1ng l\u00e0 84 ph\u00fat = 1 gi\u1edd 24 ph\u00fat <br\/> $\\Rightarrow$ C\u1ea3 3 \u0111\u00e8n c\u00f9ng ph\u00e1t s\u00e1ng l\u00fac 8 gi\u1edd; 9 gi\u1edd 24 ph\u00fat ; 10 gi\u1edd 48 ph\u00fat; 12 gi\u1edd 12 ph\u00fat;... <br\/> Th\u1eddi gian \u0111\u1ea7u ti\u00ean \u0111\u1ec3 c\u1ea3 3 \u0111\u00e8n c\u00f9ng ph\u00e1t s\u00e1ng sau 12 gi\u1edd tr\u01b0a l\u00e0 12 gi\u1edd 12 ph\u00fat <br\/> <span class=\"basic_pink\"> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 12; 12 <\/span> "}]}],"id_ques":5786},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src=\"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai15/lv3/img\/2.jpg\" \/><\/center> <br\/> T\u1ed5ng 5 s\u1ed1 t\u1ef1 nhi\u00ean b\u1ea5t k\u00ec b\u1eb1ng 156. \u01af\u1edbc chung l\u1edbn nh\u1ea5t c\u1ee7a ch\u00fang c\u00f3 th\u1ec3 nh\u1eadn gi\u00e1 tr\u1ecb l\u00e0 bao nhi\u00eau?","select":["A. 12","B. 20","C. 26","D. 35"],"hint":"","explain":"<span class=\"basic_green\">B\u00e0i gi\u1ea3i:<\/span> <br\/> G\u1ecdi 5 s\u1ed1 t\u1ef1 nhi\u00ean \u0111\u00e3 cho l\u00e0: $a_{1}; a_{2}; a_{3}; a_{4}; a_{5}$<br\/> $\u01afCLN(a_{1}; a_{2}; a_{3}; a_{4}; a_{5}) = d$ <br\/> Ta c\u00f3: $a_{1} = d.k_{1}; a_{2} = d.k_{2}; a_{3} = d. k_{3}; a_{4} = d.k_{4}; a_{5} = d.k_{5}$ ($k_{1}, k_{2}, k_{3}, k_{4}, k_{5} \\in \\mathbb{N}$) <br\/> N\u00ean: $a_{1} + a_{2} + a_{3} + a_{4} + a_{5} = d.(k_{1} + k_{2} + k_{3} + k_{4} + k_{5})$ <br\/> V\u00ec t\u1ed5ng 5 s\u1ed1 l\u00e0 156 n\u00ean $d.(k_{1} + k_{2} + k_{3} + k_{4} + k_{5})$ = 156 <br\/> $\\Rightarrow$ d l\u00e0 \u01b0\u1edbc c\u1ee7a 156 hay 156 $\\vdots$ d <br\/> V\u00ec $k_{1}, k_{2}, k_{3}, k_{4}, k_{5} \\in \\mathbb{N}$ n\u00ean $(k_{1} + k_{2} + k_{3} + k_{4} + k_{5}) \\geq 5$ <br\/> N\u00ean 5 . d $\\leq$ 156 $\\Rightarrow$ d $\\leq$ 31 <br\/> Ta c\u00f3: 156 = $2^2 . 3 . 13$ v\u00ec \u01b0\u1edbc l\u1edbn nh\u1ea5t c\u1ee7a 156 kh\u00f4ng v\u01b0\u1ee3t qu\u00e1 31 l\u00e0 26 <br\/> N\u00ean gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a d l\u00e0 26<br\/> <span class=\"basic_pink\"> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. 26<\/span> ","column":4}]}],"id_ques":5787}],"lesson":{"save":0,"level":3}}