Question

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

$36a^2{b}^2{c}^4,54a^5{c}^2,90a^4{b}^2{c}^2$

Answer 1

$36a^2{b}^2{c}^4,54a^5{c}^2,90a^4{b}^2{c}^2$

HCF of 36, 54, 90 = 18

HCF of $a^2,a^5,a^4=a^2$

HCF of $b^2,1,b^2=1$

HCF of $c^4,c^2,c^2=c^2$

$\therefore \text{HCF}=18a^2\times 1\times c^2=18a^2{c}^2$