Question

If two positive integers a and b are written as a = x y2
and b = xys, where x, y are prime numbers, then HCF
(a, b) is
​

Answer 1

Answer:

HCF by using the prime factorization method.

Step1:

Find the prime factorization of each of the number

Step2:

The product of all common prime factor is the HCF

Here,

⇒a=x×x×y×y

⇒b=x×y×y

common Factors are x×y×y

Thus ,

HCF(a,b)=xy  

2