GCD of 572, 189, 722, 756 Calculator

Given Input numbers are 572, 189, 722, 756

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

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 572, 189, 722, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 189, 722, 756 is 1.

Therefore, GCD of numbers 572, 189, 722, 756 is 1

Given Input Data is 572, 189, 722, 756

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

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(572, 189) = 108108

GCD(572, 189) = ( 572 x 189 ) / 108108

GCD(572, 189) = 108108 / 108108

GCD(572, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 572, 189, 722, 756 is 1

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1. What is the GCD of 572, 189, 722, 756?

GCD of 572, 189, 722, 756 is 1

2. Where do I get the detailed procedure to find GCD of 572, 189, 722, 756?

You can find a detailed procedure to find GCD of 572, 189, 722, 756 on our page.

3. How to find GCD of 572, 189, 722, 756 on a calculator?

You can find the GCD of 572, 189, 722, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.