Question

Section 1 has 16 question of 1 mark each. Internal choice is provided in 5 questions.
if two positive integers a and b are written as a= xy and b=x'ya where x, y are prime numbers, then find
HCF (a,b).
a​

Answer 1

Answer:

xy2

Step-by-step explanation:

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