Question

if a and b are positive integers such that a=x cubey y square and b = xy cube , where x,y are prime number , then HCF (a,b)=?

Answer 1

$➜\sf\red{QUESTION:-}$

if a and b are positive integers such that a=x cubey y square and b = xy cube , where x,y are prime number , then HCF (a,b)=?

$\huge{➜}\tt ANSWER:-$

Given that, a =x3y2 = x × x × x × y × y

and b = xy3 = x × y × y × y

∴ HCF of a and b = HCF (x3y2,xy3) = x × y × y = xy2

[Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]

$\huge{➜}\tt FOLLOW... ME:-$

Answer 2

Answer:

➜\sf\red{QUESTION:-}➜QUESTION:−

if a and b are positive integers such that a=x cubey y square and b = xy cube , where x,y are prime number , then HCF (a,b)=?

\huge{➜}\tt ANSWER:-➜ANSWER:−

Given that, a =x3y2 = x × x × x × y × y

and b = xy3 = x × y × y × y

∴ HCF of a and b = HCF (x3y2,xy3) = x × y × y = xy2

[Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]

\huge{➜}\tt FOLLOW... ME:-➜FOLLOW...ME:−