GCD of 568, 360, 517, 791 Calculator

Given Input numbers are 568, 360, 517, 791

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 568, 360, 517, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 360, 517, 791 is 1.

Therefore, GCD of numbers 568, 360, 517, 791 is 1

Given Input Data is 568, 360, 517, 791

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 517 is 11 x 47

Prime Factorization of 791 is 7 x 113

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(568, 360) = 25560

GCD(568, 360) = ( 568 x 360 ) / 25560

GCD(568, 360) = 204480 / 25560

GCD(568, 360) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 517

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

LCM(8, 517) = 4136

GCD(8, 517) = ( 8 x 517 ) / 4136

GCD(8, 517) = 4136 / 4136

GCD(8, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 568, 360, 517, 791 is 1

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• GCD of 278, 339, 859, 174
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1. What is the GCD of 568, 360, 517, 791?

GCD of 568, 360, 517, 791 is 1

2. Where do I get the detailed procedure to find GCD of 568, 360, 517, 791?

You can find a detailed procedure to find GCD of 568, 360, 517, 791 on our page.

3. How to find GCD of 568, 360, 517, 791 on a calculator?

You can find the GCD of 568, 360, 517, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.