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Emmett Jordan
20 July, 14:08
What is the greatest common divisor of x and y
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Charisma
20 July, 14:52
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What is the greatest common factor of x and y?
(1) x and y are both divisible by 4 - -> clearly insufficient: of course 4 itself could be the GCD but it's also possible that x and y share some other common factor more than 4, for example 5 (in this case both will be divisible by 20), or 8, or 4,000,000 ... so GCD could be more than 4 as well. Though from this statement we know that GCD cannot possibly be less than 4.
(2) x - y = 4 - -> according to the property #2: GCD (x, y) ≤4
GCD (x, y) ≤4, but still insufficient.
(1) + (2) From (1) GCD≥4
GCD≥4 and from (2) GCD≤4
GCD≤4 - -> GCD=4
GCD=4 Sufficient.
Answer: C.
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