GCD of 580, 304, 31, 988 Calculator

Given Input numbers are 580, 304, 31, 988

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 580, 304, 31, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 304, 31, 988 is 1.

Therefore, GCD of numbers 580, 304, 31, 988 is 1

Given Input Data is 580, 304, 31, 988

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 31 is 31

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 304) = 44080

GCD(580, 304) = ( 580 x 304 ) / 44080

GCD(580, 304) = 176320 / 44080

GCD(580, 304) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 580, 304, 31, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 824, 64, 406
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• GCD of 272, 158, 27, 227

1. What is the GCD of 580, 304, 31, 988?

GCD of 580, 304, 31, 988 is 1

2. Where do I get the detailed procedure to find GCD of 580, 304, 31, 988?

You can find a detailed procedure to find GCD of 580, 304, 31, 988 on our page.

3. How to find GCD of 580, 304, 31, 988 on a calculator?

You can find the GCD of 580, 304, 31, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.