Question

The L.C.M. of two numbers $525$ and $945$ is $4725$. Find their H.C.F.

Answer 1

We know that,

$$\begin{gathered} HCF\times LCM=Productoftwonumbers \\ HCF\times 4725=525\times 945 \\ HCF=\frac{525\times 945}{4725} \\ HCF=105 \end{gathered}$$

Hence, the HCF is $232$.