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]
Divisibility Problem
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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
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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