Question

If two positive integers a and b are written as
a = x³y²and b = xy³where x and y are prime numbers, then HCF (a,b) is?​

Answer 1

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)=xy

2

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