Question

What is gcd of numbers like (n^13-n)?

Answer 1

GCD(
`n^(13),n)`=n

Explanation:

We are given that two numbers
`n^(13)` and n

We have to find the gcd of two given numbers

GCD: It is also called HCF. It is defined as the highest common facotors of two more numbers.

To find the gcd of two given numbers first we find the factor of two numbers then we find highest common factors .

`n^(13)=n*n* n* n......* n`( 13 times )

Factors of
`n^(13)`are 1,n,n,n....n(13 times)

`n=1*n`

Factors of n are 1,n

Common factors of two given numbers are 1 ,n

Highest common factor of two given numbers is n.

Therefore, gcd of two given numbers is n.