GCD of 21, 580, 745, 515 Calculator

Given Input numbers are 21, 580, 745, 515

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 21, 580, 745, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 580, 745, 515 is 1.

Therefore, GCD of numbers 21, 580, 745, 515 is 1

Given Input Data is 21, 580, 745, 515

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

Prime Factorization of 21 is 3 x 7

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 515 is 5 x 103

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(21, 580) = 12180

GCD(21, 580) = ( 21 x 580 ) / 12180

GCD(21, 580) = 12180 / 12180

GCD(21, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 21, 580, 745, 515 is 1

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• GCD of 36, 407, 734, 522
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1. What is the GCD of 21, 580, 745, 515?

GCD of 21, 580, 745, 515 is 1

2. Where do I get the detailed procedure to find GCD of 21, 580, 745, 515?

You can find a detailed procedure to find GCD of 21, 580, 745, 515 on our page.

3. How to find GCD of 21, 580, 745, 515 on a calculator?

You can find the GCD of 21, 580, 745, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.