Question

[Bang Vu]

ƯC(12,36)

Answer 1

[Kiều Vũ Linh]

\(12=2^2.3\)

\(36=2^2.3^2\)

\(\RightarrowƯCLN\left(12;36\right)=2^2.3=12\)

\(\RightarrowƯC\left(12;36\right)=Ư\left(12\right)=\left\{-12;-6;-4;-3;-2;-1;1;2;3;4;6;12\right\}\)

Answer 2

[Citii?]

Gọi số cần tìm là \(x\)\(\left(đk:x\inℕ^∗\right)\)

\(12⋮x\)

\(36⋮x\)

\(x\) lớn nhất

\(\Rightarrow x\inƯC\left(12,36\right)\)

Ta có:

\(12=2^2.3\)

\(36=2^2.3^2\)

\(\RightarrowƯCLN\left(12,36\right)=2^2.3=12\)

\(\RightarrowƯC\left(12,36\right)=Ư\left(12\right)=\left\{1;2;3;4;6;12;-1;-2;-3;-4;-6;-12\right\}\)

\(\RightarrowƯC\left(12,36\right)=\left\{1;2;3;4;6;12;-1;-2;-3;-4;-6;-12\right\}\)