GCD of 131, 580, 718, 596 Calculator

Given Input numbers are 131, 580, 718, 596

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 131, 580, 718, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 580, 718, 596 is 1.

Therefore, GCD of numbers 131, 580, 718, 596 is 1

Given Input Data is 131, 580, 718, 596

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

Prime Factorization of 131 is 131

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 718 is 2 x 359

Prime Factorization of 596 is 2 x 2 x 149

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(131, 580) = 75980

GCD(131, 580) = ( 131 x 580 ) / 75980

GCD(131, 580) = 75980 / 75980

GCD(131, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 131, 580, 718, 596 is 1

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1. What is the GCD of 131, 580, 718, 596?

GCD of 131, 580, 718, 596 is 1

2. Where do I get the detailed procedure to find GCD of 131, 580, 718, 596?

You can find a detailed procedure to find GCD of 131, 580, 718, 596 on our page.

3. How to find GCD of 131, 580, 718, 596 on a calculator?

You can find the GCD of 131, 580, 718, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.