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1092 = 22 . 3 . 13 . 7
2244 = 22 . 3 . 11 . 17
ƯCLN (1092,2244)= 22 . 3 = 12
a) goi hai so la a ; b va a >b
vi UCLN(a,b)=18=>a=18k ; b=18q (trong do UCLN (k,q)=1 va k>q)
=>a+b=162
18k+18q =162
18(k+q)=162
k+q=9
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21453
52542000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 542454550212.100000000000000000000000000000000000000000000000000000000000000000000000000000 |
Gọi d là ước chung lớn nhất của 14n+3 và 21n+4
\(\Leftrightarrow\left\{{}\begin{matrix}14n+3⋮d\\21n+4⋮d\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}42n+9⋮d\\42n+8⋮d\end{matrix}\right.\)
\(\Leftrightarrow1⋮d\)
\(\Leftrightarrow d=1\)
1092 = 22 . 3 . 7 . 13
2244 = 22 . 3 . 11 . 17
ƯCLN ( 1092 , 2244 ) = 22 . 3 = 12
ƯCLL(1092;2244)={12}