Question

Find the greatest common factors (GCF / HCF) of the following polynomials :

$42x^{2}yz\text{and}63x^3{y}^2{z}^3$

Answer 1

HCF of 42 and 63 = 21

$42\left)\overline{63}\right(142\overline{21\left)42\right(}2\underset{–}{42}\underset{–}{\times }$

HCF of $x^2,x^3=x^2$

HCF of $y,y^2=y$

HCF of $z,z^3=z$

$\therefore \text{HCF}=21x^{2}yz$