Question

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.

Answer 1

The formula that shows the relation between LCM and HCF of a and b is: LCM (a, b) = (a × b) / HCF (a, b)

One number is a = 725

HCF (725, b) is 145, and LCM (725, b) = 2175

LCM (725, b) = (725 × b) / HCF (725, b)

2175 = (725 × b) / 145

725 × b = 2175 × 145

b = 315375/725

= 435

Therefore, the other number is 435.

Answer 2

We know that,
HCF*LCM = Product of two numbers