GCD of 580, 795, 38, 813 Calculator

Given Input numbers are 580, 795, 38, 813

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 580, 795, 38, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 795, 38, 813 is 1.

Therefore, GCD of numbers 580, 795, 38, 813 is 1

Given Input Data is 580, 795, 38, 813

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 795 is 3 x 5 x 53

Prime Factorization of 38 is 2 x 19

Prime Factorization of 813 is 3 x 271

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, 795) = 92220

GCD(580, 795) = ( 580 x 795 ) / 92220

GCD(580, 795) = 461100 / 92220

GCD(580, 795) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 38

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

LCM(5, 38) = 190

GCD(5, 38) = ( 5 x 38 ) / 190

GCD(5, 38) = 190 / 190

GCD(5, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 580, 795, 38, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 503, 12, 591
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• GCD of 548, 730, 77, 217

1. What is the GCD of 580, 795, 38, 813?

GCD of 580, 795, 38, 813 is 1

2. Where do I get the detailed procedure to find GCD of 580, 795, 38, 813?

You can find a detailed procedure to find GCD of 580, 795, 38, 813 on our page.

3. How to find GCD of 580, 795, 38, 813 on a calculator?

You can find the GCD of 580, 795, 38, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.