GCD of 917, 364, 981, 908 Calculator

Given Input numbers are 917, 364, 981, 908

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 917, 364, 981, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 364, 981, 908 is 1.

Therefore, GCD of numbers 917, 364, 981, 908 is 1

Given Input Data is 917, 364, 981, 908

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 908 is 2 x 2 x 227

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(917, 364) = 47684

GCD(917, 364) = ( 917 x 364 ) / 47684

GCD(917, 364) = 333788 / 47684

GCD(917, 364) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 981

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

LCM(7, 981) = 6867

GCD(7, 981) = ( 7 x 981 ) / 6867

GCD(7, 981) = 6867 / 6867

GCD(7, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 917, 364, 981, 908 is 1

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1. What is the GCD of 917, 364, 981, 908?

GCD of 917, 364, 981, 908 is 1

2. Where do I get the detailed procedure to find GCD of 917, 364, 981, 908?

You can find a detailed procedure to find GCD of 917, 364, 981, 908 on our page.

3. How to find GCD of 917, 364, 981, 908 on a calculator?

You can find the GCD of 917, 364, 981, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.