Question

given HCF (a,657)=9 and LCM (a,657)=22338, find a.

Answer 1

Hope the answer may help you

LCM*HCF= Product of the number

22338*9= a*657

(22338*9)/657=a

a = 306

Answer 2

Given: HCF (a, 657) = 9 and LCM  (a, 657) = 22338

To find: $a$

Solution: Given that,

HCF of two numbers, a and 657 is 9.

LCM of a and 657 is 22338.

We know that,

Product of numbers = HCF * LCM

⇒ $a * 657 = 9 * 22338$

⇒ $a = \frac{9 \ * \ 22338}{657}$

⇒ $a = \frac{201042}{657}$

⇒ $a = 306$

Verification:

⇒ $306 \ * \ 657 = 9 \ * \ 22338 = 201042$

Hence, the other number ($a$) is 306.