Question

if two positive integers A and B are written as a=x2y2 and xy2;x,y are prime numbers then find hcf (a,b).

Answer 1

Answer:

xy^2

Step-by-step explanation:

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)=xy2

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