Question

If two positive integers a and b are written as a = xºy2 and b = xyº; x, y
are prime numbers, then HCF (a, b) is :
(A) ху
(B) xy2
(C) x3y3
(D) x2y2
2 and a
-
3h.​

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 ,