Question

If two Positive Integer a and b are written as a= x
3
y
2 and b= xy3 ,where x, y are prime numbers, then HCF (a,b) is
(a) xy
(b) x2y
(c) x3y3
(d) xy2

Answer 1

Answer:

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

Step-by-step explanation:

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