Question

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other.

Answer 1

Let the two numbers be a and b.
Let the value of a be 161.
Given: HCF = 23 and LCM = 1449
We know, a × b = HCF × LCM
                ⇒ 161 × b = 23 × 1449
                ⇒ ∴ b =`( 23 ×1449)/161 = 33327/161 = 207`
Hence, the other number b is 207.