Question 876065
{{{100xy^2}}} , {{{20x}}} , and {{{25x^2}}}

{{{20x}}} , and {{{25x^2}}} are not multiples of {{{y}}} .
{{{100xy^2}}} , {{{20x}}} , and {{{25x^2}}} all have {{{x}}} as a factor,
but {{{x^2}}} is not a common factor for all three expressions.
All three expressions have {{{5}}} as a GFC for the coefficients ;
{{{100=5*20}}} , {{{20=5*4}}} , and {{{25=5*5}}} .
So {{{GFC(100xy^2,20x,25x^2)=highlight(5x)}}}