Question

HCF of $x^3{y}^5{z}^3$, $x^2{y}^4{z}^2$ and $x^2{y}^2{z}^2$ is $x^a{y}^b{z}^c$. a+b+c = _______________

• A. 8
• B. 4
• C. 6
• D. 5

Answer 1

The correct option is C

6

Given expressions $x^3{y}^5{z}^3$, $x^2{y}^4{z}^2$ and $x^2{y}^2{z}^2$

Power of 'x' which divides all expressions = 2

Power of 'y' which divides all expressions = 2

Power of 'z' which divides all expressions = 2

HCF $x^a{y}^b{z}^c$ = $x^2{y}^2{z}^2$

$a=2,b=2,c=2$

$a+b+c$ = 6