GCD of 972, 872, 629 Calculator

Given Input numbers are 972, 872, 629

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 972, 872, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 872, 629 is 1.

Therefore, GCD of numbers 972, 872, 629 is 1

Given Input Data is 972, 872, 629

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 872 is 2 x 2 x 2 x 109

Prime Factorization of 629 is 17 x 37

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, 872) = 211896

GCD(972, 872) = ( 972 x 872 ) / 211896

GCD(972, 872) = 847584 / 211896

GCD(972, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

GCD of 972, 872, 629 is 1

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1. What is the GCD of 972, 872, 629?

GCD of 972, 872, 629 is 1

2. Where do I get the detailed procedure to find GCD of 972, 872, 629?

You can find a detailed procedure to find GCD of 972, 872, 629 on our page.

3. How to find GCD of 972, 872, 629 on a calculator?

You can find the GCD of 972, 872, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.