GCD of 580, 337, 108, 516 Calculator

Given Input numbers are 580, 337, 108, 516

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

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 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 580, 337, 108, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 337, 108, 516 is 1.

Therefore, GCD of numbers 580, 337, 108, 516 is 1

Given Input Data is 580, 337, 108, 516

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

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

Prime Factorization of 337 is 337

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(580, 337) = 195460

GCD(580, 337) = ( 580 x 337 ) / 195460

GCD(580, 337) = 195460 / 195460

GCD(580, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 580, 337, 108, 516 is 1

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1. What is the GCD of 580, 337, 108, 516?

GCD of 580, 337, 108, 516 is 1

2. Where do I get the detailed procedure to find GCD of 580, 337, 108, 516?

You can find a detailed procedure to find GCD of 580, 337, 108, 516 on our page.

3. How to find GCD of 580, 337, 108, 516 on a calculator?

You can find the GCD of 580, 337, 108, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.