Question

If two positive integers a and b are written as a = xy? and b = xy'; x, y are
prime numbers, then find HCF (a, b)
​

Answer 1

Answer:

HCF by using the prime factorization method.

Step-by-step explanation:

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  

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