GCD of 642, 591, 25, 972 Calculator

Given Input numbers are 642, 591, 25, 972

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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

Greatest Common Divisior

We found the divisors of 642, 591, 25, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 591, 25, 972 is 1.

Therefore, GCD of numbers 642, 591, 25, 972 is 1

Given Input Data is 642, 591, 25, 972

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 591 is 3 x 197

Prime Factorization of 25 is 5 x 5

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

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(642, 591) = 126474

GCD(642, 591) = ( 642 x 591 ) / 126474

GCD(642, 591) = 379422 / 126474

GCD(642, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 642, 591, 25, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 862, 69, 337
• GCD of 441, 808, 19, 393
• GCD of 586, 439, 41, 672
• GCD of 534, 594, 77, 621
• GCD of 314, 572, 46, 318

1. What is the GCD of 642, 591, 25, 972?

GCD of 642, 591, 25, 972 is 1

2. Where do I get the detailed procedure to find GCD of 642, 591, 25, 972?

You can find a detailed procedure to find GCD of 642, 591, 25, 972 on our page.

3. How to find GCD of 642, 591, 25, 972 on a calculator?

You can find the GCD of 642, 591, 25, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.