Question

If gcd(a,b)=d then which of the following is false?
A.d|a and d|b
B.if c|a and c|b then c <= d
C.c|a and c|b then c >d
D.c|a and c|b then c |d

Answer 1

i think B.i think ok

Answer 2

Answer:

Step-by-step explanation:

Step 1:

The correct answer is Option(C).

Step 2:

We know that GCD stands for Greatest Common Divisor.

And in the question GCD(a,b) = d

It means d is the greatest integer that divides a and b.

hence option (A) is correct.

if any integer c divides a and c divides b then c <= d since d is the G.C.D.

hence option (B) is correct and option (C) is False.

since c <= d and c | a and c | b also. And given  G.C.D = d

so c | d since G.C.D= d which divides a and b.

hence option(D) is correct.

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