Question

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

$x^{2}y$ and $x{y}^2$ is $xy;x^2{y}^2$
If true then enter $1$ and if false then enter $0$

Answer 1

Factorizing
$x^{2}y$ and $x{y}^2$,
$x^{2}y=x\ast x\ast y$
$x{y}^2=x\ast y\ast y$
H.C.F. $=x\ast y$ L.C.M.$=x\ast x\ast y\ast y=x^2{y}^2$