GCD of 972, 571, 920, 844 Calculator

Given Input numbers are 972, 571, 920, 844

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 972, 571, 920, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 571, 920, 844 is 1.

Therefore, GCD of numbers 972, 571, 920, 844 is 1

Given Input Data is 972, 571, 920, 844

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 571 is 571

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 844 is 2 x 2 x 211

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(972, 571) = 555012

GCD(972, 571) = ( 972 x 571 ) / 555012

GCD(972, 571) = 555012 / 555012

GCD(972, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 972, 571, 920, 844 is 1

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1. What is the GCD of 972, 571, 920, 844?

GCD of 972, 571, 920, 844 is 1

2. Where do I get the detailed procedure to find GCD of 972, 571, 920, 844?

You can find a detailed procedure to find GCD of 972, 571, 920, 844 on our page.

3. How to find GCD of 972, 571, 920, 844 on a calculator?

You can find the GCD of 972, 571, 920, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.