singhsuryabh singhsuryabh
  • 17-07-2019
  • Mathematics
contestada

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!!

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 17-07-2019

Answer:

1

Step-by-step explanation:

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

Answer Link
freckledspots freckledspots
  • 17-07-2019

Answer:

1

Step-by-step 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 Link

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