Question

State whether True or False.
The H.C.F. and L.C.M. of:

$4x^{2}y{z}^3$ and $6x^3{y}^2{z}^2$ is $2x^{2}y{z}^2;12x^3{y}^2{z}^3$
If true then enter $1$ and if false then enter $0$

Answer 1

Factorizing $4x^{2}y{z}^3$ and $6x^2{y}^2{z}^2$

$4x^{2}y{z}^3=2\times 2\times x^2\times y\times z^3$

$6x^2{y}^2{z}^2=6\times x^2\times y^2\times z^2$

H.C.F. $=2\times x^2\times y\times z^2=2x^{2}y{z}^2$

L.C.M. $=12\times x^2\times y^2\times z^3=12x^2{y}^2{z}^3$