GCD of 311, 130, 975, 981 Calculator

Given Input numbers are 311, 130, 975, 981

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 311, 130, 975, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 130, 975, 981 is 1.

Therefore, GCD of numbers 311, 130, 975, 981 is 1

Given Input Data is 311, 130, 975, 981

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

Prime Factorization of 311 is 311

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 981 is 3 x 3 x 109

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(311, 130) = 40430

GCD(311, 130) = ( 311 x 130 ) / 40430

GCD(311, 130) = 40430 / 40430

GCD(311, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 311, 130, 975, 981 is 1

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1. What is the GCD of 311, 130, 975, 981?

GCD of 311, 130, 975, 981 is 1

2. Where do I get the detailed procedure to find GCD of 311, 130, 975, 981?

You can find a detailed procedure to find GCD of 311, 130, 975, 981 on our page.

3. How to find GCD of 311, 130, 975, 981 on a calculator?

You can find the GCD of 311, 130, 975, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.