Question

7. Two positive integers a and b can be written as a= x®yand b= xyº,
where x and y are prime numbers. Find HCF(a, b) and LCM(a, b).
[CBSE 2019]​

Answer 1

Answer:

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

mark me as brainliest