Question

Find the GCF of the following numbers:

n and (n-1), where n is a natural number, greater than 1.

13 POINTS! NEED ANSWER QUICK! THANKS!!

Answer 1

1

Explanation:

n-1 and n are consecutive integers.

Examples of consecutive pairs:

(7,8)

(10,11)

(100,101)

and so on...

The remainder will always be 1 when doing n divided by n-1.

n=(n-1)(1)+1.

All this is here to try to convince you that n and n-1 will only have common factor of 1.

Answer 2

1

Explanation:

The numbers are mutually prime, so the GCF is 1.