Question

The product of two numbers is $200$ and their L.C.M. is $40$. What is the H.C.F. of the two numbers?

Answer 1

Finding the H.C.F. of the two numbers

$$\begin{gathered} \text{LCM×HCF=Product of the numbers} \\ \text{⇒HCF =}\frac{productoftwonumbers}{LCMoftwonumbers} \\ \Rightarrow HCF=\frac{200}{40} \\ \Rightarrow HCF=5 \end{gathered}$$

Hence, the H.C.F is $5$.