Question

if two positive integers A and B are written a s a x 4 y square and b is equal to x square by cube right A and B are prime numbers then find HCF of a and b​

Answer 1

Answer:

If two positive integers a and b are written as a = x3y2 and b = xy3 where x, y are prime numbers, then find HCF of a and b.

ans....

Given,

a = x3y2 = (x) × (x) × (x) × (y) × (y)

b = xy3 = (x) × (y) × (y) × (y)

Since a, b are positive integers and x, y are prime numbers. we can get the HCF as,

HCF(a, b) = (x) × (y) × (y) = xy2

Step-by-step explanation:

Answer 2

HCF by using the prime factorization method.

The product of all common prime factors is the HCF

Here,

⇒ a=x×x×x×x×y

⇒ b=x×x

common Factors are x×x

Thus,

HCF(a,b)=x²