Question

The H.C.F of two numbers is 145, their L.C.M is 2175. If one number is 725, find the other.

Answer 1

HCF of two numbers = 145
LCM of two numbers = 2,175
One of the given numbers = 725

Product of the given two numbers = Product of their LCM and HCF
∴ 725 × other number = 145 × 2,175

$\mathrm{Other}\mathrm{number}=\frac{145\mathrm{x}2175}{725}=435$

Thus, the required number is 435.