Question

Given that LCM (16, 24) =48. Find HCF (16, 24).

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know}\mathrm{that}, \\ \mathrm{HCF}\times \mathrm{LCM}=\mathrm{Product}\mathrm{of}\mathrm{given}\mathrm{numbers} \\ \Rightarrow \mathrm{HCF}=\frac{\mathrm{Product}\mathrm{of}\mathrm{given}\mathrm{numbers}}{\mathrm{LCM}} \\ \Rightarrow \mathrm{HCF}=\frac{16\times 24}{48} \\ \Rightarrow \mathbf{HCF}\mathbf{=}\mathbf{8} \end{gathered}$$