Question

The H.C.F. of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other. ​

Answer 1

Step-by-step explanation:

Given, HCF=23

LCM=1449

Let the two numbers be a and b. Let a=161. We have to find b.

We know that

HCF(a,b)×LCM(a,b)=a×b

⇒23×1449=161×b

⇒23×

161

1449

=b

⇒b=23×9

∴b=207

Thus, the other number is 207.