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B(23)={23;46;69;92;...}
Ư(300)={1;300;2;150;3;100;4;75;5;60;6;50;10;30;12;25;15;20;}
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Vì ƯCLN(a,b)=15+>a=15m;b=15.n và (m;n)=1
Từ đó,suy ra : BCNN(a,b)=15.m.n=300
=>m.n=20=20.1=1.20=4.5=5.4
Xét :
*m=20;n=1=>a=300;b=15
*m=1;n=20=>a=15;b=300
*m=4;n=5=>a=60;b=75
*m=5;n=4=>a=75;b=60
Mà từ giả thuyết có:a+15=b nên (a;b)E{(75;60)}
Ta có : ƯCLN ( a , b ) = 15
=> a = 15 . m b = 15 . n. ( m , n ) = 1
=> BCNN ( a , b ) = 15 . m . n = 300
=> m . n = 300 : 15 = 20
=> m . n = 1 . 20 = 4 . 5 = 2 . 10 = 10 . 2 = 5 . 4 = 20 . 1
Xét :
- m = 1 , n = 20 => a = 15 , b = 300
- m = 20 , n = 1 => a = 300 , b = 15
- m = 4 , n = 5 => a = 60 , b = 75
- m = 5 , n = 4 => a = 75 , b = 60
- m = 2 , n = 10 => a = 30 , b = 150
- m = 10 , n = 2 => a = 150 , b = 30
Vì a + 15 = b
=> a = 60 , b = 75
(
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a: Ư(15)={1;-1;3;-3;5;-5;15;-15}
Ư(27)={1;-1;3;-3;9;-9;27;-27}
ƯC(15;27)={1;-1;3;-3}
b: Ư(16)={1;-1;2;-2;4;-4;8;-8;16;-16}
Ư(20)={1;-1;2;-2;4;-4;5;-5;10;-10;20;-20}
Ư(30)={1;-1;2;-2;3;-3;5;-5;6;-6;10;-10;15;-15;30;-30}
ƯC(16;20;30)={1;-1;2;-2}
![](https://rs.olm.vn/images/avt/0.png?1311)
\(Ư\left(144\right)=\left\{1,2,3,4,6,8,9,12,16,18,24,36,48,72,144\right\}\)
\(Ư\left(324\right)=\left\{1,2,3,4,6,9,12,18,27,36,54,81,108,162,324\right\}\)
\(Ư\left(576\right)=\left\{1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576\right\}\)
\(Ư\left(1024\right)=\left\{1,2,4,8,16,32,64,128,256,512,1024\right\}\)
\(Ư\left(1296\right)=\left\{1,2,3,4,6,8,9,12,16,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ư(26)={1;2;13;26}
Ư(39)={1;3;13;39}
Ư(64)={1;2;4;8;16;32;64}
Ư(12)={1;2;3;4;12}
Ư(45)={3;5;9;15;45}
\(Ư\left(26\right)=\left\{1;-1;2;-2;13;-13;21;-26\right\}\)
\(Ư\left(39\right)=\left\{1;-1;3;-3;13;-13;39;-39\right\}\)
\(Ư\left(64\right)=\left\{1;-1;2;-2;4;-4;8;-8;16;-16;32;-32;64;-64\right\}\)
\(Ư\left(12\right)=\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)
\(Ư\left(45\right)=\left\{1;-1;3;-3;5;-5;9;-9;15;-15;45;-45\right\}\)
Ư(300)={1;300;2;150;3;100;4;75;5;60;6;50;10;30;12;25;15;20}
Ư(300)={1;2;3;4;5;6;10;12;15;20;25;30;50;60;75;100;150;300}