Question

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

$9x^2,15x^2{y}^3,6x{y}^2\text{and}21x^2{y}^2$

Answer 1

$9x^2,15x^2{y}^3,6x{y}^2\text{and}21x^2{y}^2$

HCF of 9, 15, 6, 21 = 3

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

HCF of $1,y^3,y^2,y^2=1$

$\therefore$ HCF = 3x