Question

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

Answer 1

Relation between HCF and LCM of

two numbers a and b is

Product of two numbers = HCF × LCM

According to the given problem

HCF = 145 ,

LCM = 2175,

One number = a = 725

Let the second number = b

a × b = HCF × LCF

b = ( HCF × LCM ) / a

b = ( 145 × 2175 )/ 725

b = ( 145 × 3 × 725 )/ 725

b = 145 × 3

b = 435

Therefore , Second number = b = 435

Answer 2

Relation between HCF and LCM of

two numbers a and b is

Product of two numbers = HCF × LCM

According to the given problem

HCF = 145 ,

LCM = 2175,

One number = a = 725

Let the second number = b

a × b = HCF × LCF

b = ( HCF × LCM ) / a

b = ( 145 × 2175 )/ 725

b = ( 145 × 3 × 725 )/ 725

b = 145 × 3

b = 435

Therefore , Second number = b = 435