Asked by Andrea
Classify each of the following statements as true or false where a and b are whole numbers. ?
a. If GCD(a,b)= 1, then a and b cannot both be even.
b. If GCD(a,b) = 2, then both a and b are even.
c. If a and b are even, then GCD(a,b) = 2.
a. If GCD(a,b)= 1, then a and b cannot both be even.
b. If GCD(a,b) = 2, then both a and b are even.
c. If a and b are even, then GCD(a,b) = 2.
Answers
Answered by
oobleck
a. true, since 2 would be a divisor of each
b. true, since both are multiples of 2
c. false. Consider GCD(12,16)=4
b. true, since both are multiples of 2
c. false. Consider GCD(12,16)=4
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