GCD of 580, 320, 31 Calculator

Given Input numbers are 580, 320, 31

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 580, 320, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 320, 31 is 1.

Therefore, GCD of numbers 580, 320, 31 is 1

Given Input Data is 580, 320, 31

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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 31 is 31

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, 320) = 9280

GCD(580, 320) = ( 580 x 320 ) / 9280

GCD(580, 320) = 185600 / 9280

GCD(580, 320) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 31

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

LCM(20, 31) = 620

GCD(20, 31) = ( 20 x 31 ) / 620

GCD(20, 31) = 620 / 620

GCD(20, 31) = 1

GCD of 580, 320, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 302, 32
• GCD of 608, 271, 87
• GCD of 335, 617, 31
• GCD of 711, 289, 80
• GCD of 149, 150, 53

1. What is the GCD of 580, 320, 31?

GCD of 580, 320, 31 is 1

2. Where do I get the detailed procedure to find GCD of 580, 320, 31?

You can find a detailed procedure to find GCD of 580, 320, 31 on our page.

3. How to find GCD of 580, 320, 31 on a calculator?

You can find the GCD of 580, 320, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.