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Divisibility Problem

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by sparkle6 » Mon Sep 26, 2011 8:09 am
If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 35x and 20y?

a. 5

b. 5(x - y)

c. 20x

d. 20y

e. 35x

[spoiler]Answer: C. I narrowed it down to B or C, but then could not find a way to eliminate either one. Any solutions?[/spoiler]
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by cans » Mon Sep 26, 2011 8:22 am
35x and 20y.
35x = 5*7*x and 20y = 5*4*y
a) 5 is possible.
E) when y=35x possible
D) when x=20y, possible
take C)
if 20x is GCD,
20x = 5*4*x.
but 35x is 5*7*x. how can we get 4?? not possible
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