Question

If two positive integers a and b are written as a = x²y² and b xy2; x, y are prime = numbers, then HCF (a, b) is​

Answer 1

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

Answer 2

Step-by-step explanation:

xy²

Step-by-step explanation:

If two positive integers a and b are written as a = x2y2 and b= xy2 are prime numbers then HCF of (a,b) is

a = x²y²

b = xy²

HCF is Highest common Factor

Lets factorise a & b and find common factors

a = x.x.y.y

b =x.y.y

common factors are = x.y.y

HCF = x.y.y = xy