GCD of 971, 255, 31, 252 Calculator

Given Input numbers are 971, 255, 31, 252

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 971, 255, 31, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 255, 31, 252 is 1.

Therefore, GCD of numbers 971, 255, 31, 252 is 1

Given Input Data is 971, 255, 31, 252

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 971 is 971

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 31 is 31

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(971, 255) = 247605

GCD(971, 255) = ( 971 x 255 ) / 247605

GCD(971, 255) = 247605 / 247605

GCD(971, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 971, 255, 31, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 441, 29, 767
• GCD of 107, 160, 87, 555
• GCD of 828, 494, 53, 698
• GCD of 308, 267, 47, 452
• GCD of 693, 398, 64, 160

1. What is the GCD of 971, 255, 31, 252?

GCD of 971, 255, 31, 252 is 1

2. Where do I get the detailed procedure to find GCD of 971, 255, 31, 252?

You can find a detailed procedure to find GCD of 971, 255, 31, 252 on our page.

3. How to find GCD of 971, 255, 31, 252 on a calculator?

You can find the GCD of 971, 255, 31, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.