Question

Find the greatest common factor of the terms in each of the following expressions:

$3a^2{b}^2+4b^2{c}^2+12a^2{b}^2{c}^2$

Answer 1

$3a^2{b}^2+4b^2{c}^2+12a^2{b}^2{c}^2$

HCF of 3, 4, 12 =1

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

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

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

$\therefore \text{HCF}=b^2$