GCD of 981, 691, 756, 113 Calculator

Given Input numbers are 981, 691, 756, 113

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

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 981, 691, 756, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 691, 756, 113 is 1.

Therefore, GCD of numbers 981, 691, 756, 113 is 1

Given Input Data is 981, 691, 756, 113

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 691 is 691

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 113 is 113

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(981, 691) = 677871

GCD(981, 691) = ( 981 x 691 ) / 677871

GCD(981, 691) = 677871 / 677871

GCD(981, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 981, 691, 756, 113 is 1

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1. What is the GCD of 981, 691, 756, 113?

GCD of 981, 691, 756, 113 is 1

2. Where do I get the detailed procedure to find GCD of 981, 691, 756, 113?

You can find a detailed procedure to find GCD of 981, 691, 756, 113 on our page.

3. How to find GCD of 981, 691, 756, 113 on a calculator?

You can find the GCD of 981, 691, 756, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.