GCD of 916, 596, 21, 981 Calculator

Given Input numbers are 916, 596, 21, 981

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 916, 596, 21, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 596, 21, 981 is 1.

Therefore, GCD of numbers 916, 596, 21, 981 is 1

Given Input Data is 916, 596, 21, 981

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 21 is 3 x 7

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(916, 596) = 136484

GCD(916, 596) = ( 916 x 596 ) / 136484

GCD(916, 596) = 545936 / 136484

GCD(916, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 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 916, 596, 21, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 258, 30, 387
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• GCD of 110, 511, 65, 223
• GCD of 453, 916, 25, 556
• GCD of 479, 818, 26, 383

1. What is the GCD of 916, 596, 21, 981?

GCD of 916, 596, 21, 981 is 1

2. Where do I get the detailed procedure to find GCD of 916, 596, 21, 981?

You can find a detailed procedure to find GCD of 916, 596, 21, 981 on our page.

3. How to find GCD of 916, 596, 21, 981 on a calculator?

You can find the GCD of 916, 596, 21, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.