Finding the greatest common factor of the list of items.?

Question

x2y5,xy7,x6y
a) x6y7
b) x2y5
c) x8y12
d) xy

Answer 1

answer is xy
because
least power of x is 1
and
least power of y is also 1

Answer 2

Do it one variable at a time and 1 prime number at a time.

Ooooh, do you mean X^2Y^5, xy^7, x^6y?

Taking out the x, you could get 2 from the first one, 1 from the second, or 6 from the third. So, checking them all for the smallest number of x, we get 1. Our answer will have 1 x in it.

Checking the y, we get 5, 7, and 1 respectively. Again, the guy with the smallest number of y is 1

So, the answer is 1x and 1y or xy, answer d

Answer 3

d) xy