GCD of 56, 790, 572, 315 Calculator

Given Input numbers are 56, 790, 572, 315

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 56, 790, 572, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 790, 572, 315 is 1.

Therefore, GCD of numbers 56, 790, 572, 315 is 1

Given Input Data is 56, 790, 572, 315

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 790 is 2 x 5 x 79

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

Prime Factorization of 315 is 3 x 3 x 5 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(56, 790) = 22120

GCD(56, 790) = ( 56 x 790 ) / 22120

GCD(56, 790) = 44240 / 22120

GCD(56, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

GCD of 56, 790, 572, 315 is 1

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1. What is the GCD of 56, 790, 572, 315?

GCD of 56, 790, 572, 315 is 1

2. Where do I get the detailed procedure to find GCD of 56, 790, 572, 315?

You can find a detailed procedure to find GCD of 56, 790, 572, 315 on our page.

3. How to find GCD of 56, 790, 572, 315 on a calculator?

You can find the GCD of 56, 790, 572, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.