+)Theo bài ta có:\(108⋮x;180⋮x;x< 15\)
\(\Rightarrow x\inƯC\left(108,180\right)\)
+) 108=22.33 180=22.32.5
\(\RightarrowƯCLN\left(108,180\right)=2^2.3^2=36\)
\(\RightarrowƯC\left(108,180\right)=Ư\left(36\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm9;\pm12;\pm18;\pm36\right\}\)
\(\Rightarrow x\in\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm9;\pm12;\pm18;\pm36\right\}\)
Mà x<15
\(\Rightarrow x\in\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm9;\pm12;-18;-36\right\}\)
Vậy \(x\in\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm9;\pm12;-18;-36\right\}\)
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