Question

If two positive integers a and b are written as a=x3 y 2 and b=xy3 ; where x and y are distinct primes, then find the HCF of a and b.​

Answer 1

Answer

Correct option is

B

xy  

2

 

HCF (Highestcommonfactor):−(Also called as GCD) HCF of two

numbers are the number which completely divides (with 0 remainders)

both the numbers. For example ,HCF of 14 and 21 is 7 ,HCF(54,27)is 27.

Given a=x  

3

y  

2 ,

b=xy  

3

 

It can be observed that xy  

2

is a common factor of both a and b.

Hence HCF(a,b)=xy  

2

.