Question

If two positive integers a and b are written as a = x²y² and b xy2; x, y are prime = numbers, then HCF (a, b) is​

Answer 1

Step-by-step explanation:

HCF by using the prime factorization method.

Find the prime factorization of each of the number

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)=xy2