GCD of 108, 868, 35, 572 Calculator

Given Input numbers are 108, 868, 35, 572

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 108, 868, 35, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 868, 35, 572 is 1.

Therefore, GCD of numbers 108, 868, 35, 572 is 1

Given Input Data is 108, 868, 35, 572

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 35 is 5 x 7

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(108, 868) = 23436

GCD(108, 868) = ( 108 x 868 ) / 23436

GCD(108, 868) = 93744 / 23436

GCD(108, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 35

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

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

GCD(4, 35) = 140 / 140

GCD(4, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 108, 868, 35, 572 is 1

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1. What is the GCD of 108, 868, 35, 572?

GCD of 108, 868, 35, 572 is 1

2. Where do I get the detailed procedure to find GCD of 108, 868, 35, 572?

You can find a detailed procedure to find GCD of 108, 868, 35, 572 on our page.

3. How to find GCD of 108, 868, 35, 572 on a calculator?

You can find the GCD of 108, 868, 35, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.