GCD of 957, 116, 21, 564 Calculator

Given Input numbers are 957, 116, 21, 564

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

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 21

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

1, 3, 7, 21

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 957, 116, 21, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 116, 21, 564 is 1.

Therefore, GCD of numbers 957, 116, 21, 564 is 1

Given Input Data is 957, 116, 21, 564

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 21 is 3 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(957, 116) = 3828

GCD(957, 116) = ( 957 x 116 ) / 3828

GCD(957, 116) = 111012 / 3828

GCD(957, 116) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 21

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

LCM(29, 21) = 609

GCD(29, 21) = ( 29 x 21 ) / 609

GCD(29, 21) = 609 / 609

GCD(29, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 957, 116, 21, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 511, 58, 415
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• GCD of 423, 184, 16, 546
• GCD of 543, 957, 35, 838
• GCD of 661, 508, 96, 165

1. What is the GCD of 957, 116, 21, 564?

GCD of 957, 116, 21, 564 is 1

2. Where do I get the detailed procedure to find GCD of 957, 116, 21, 564?

You can find a detailed procedure to find GCD of 957, 116, 21, 564 on our page.

3. How to find GCD of 957, 116, 21, 564 on a calculator?

You can find the GCD of 957, 116, 21, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.