\(\left[{}\begin{matrix}24=2^3.3\\36=2^2.3^2\\120=3.5.2^3\end{matrix}\right.\Rightarrow UWCLN\left(24;36;120\right)=2^2.3=12\)
Ta có :
\(24=2^3.3\)
\(36=2^2.3^2\)
\(120=2^3.3.5\)
\(\RightarrowƯCLN_{\left(24;36;120\right)}=2^2.3=12\)
Ta có:
24 = 12. 2
36 = 12 . 3
120 = 12 . 10
Ta có bảng:
12 | 2 |
12 | 3 |
12 | 10 |
\(\Rightarrow\) ƯCLN = 12
24=23 . 3
36=22 . 32
120 = 3.5.23
=> ƯCLN(24;;36;120)=22.3