Question

The L.C.M. of two numbers is$35322.$ If the numbers are in ratio $1:3$, then their HCF is

Answer 1

We have to find HCF

The L.C.M of two numbers is$35322$
The ratio of the two numbers is $1:3$
Let’s assume the numbers to be$x$and $3x$
Now, the L.C.M of $x$and $3x$ is $3x$
And, the H.C.F. of $x$ and $3x$ will be $x$
Now
$$\begin{gathered} 3x=35322 \\ x=35322/3 \\ x=11774 \end{gathered}$$
Therefore, the H.C.F. of the two numbers is $11774.$