Question

The $HCF$ and $LCM$ of two numbers are $9$ and $360$ respectively. If one number is $45$, find the other numbers.

Answer 1

We know that

H.C.F$\times$L.C.M$=$ Product of numbers.

$\Rightarrow 9\times 360=45\times$other number

$\Rightarrow$ other number $=\frac{9\times 360}{45}=72$

$\therefore$ the other number is $72$