GCD of 586, 572, 25, 520 Calculator

Given Input numbers are 586, 572, 25, 520

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 586, 572, 25, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 572, 25, 520 is 1.

Therefore, GCD of numbers 586, 572, 25, 520 is 1

Given Input Data is 586, 572, 25, 520

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 25 is 5 x 5

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(586, 572) = 167596

GCD(586, 572) = ( 586 x 572 ) / 167596

GCD(586, 572) = 335192 / 167596

GCD(586, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 586, 572, 25, 520 is 1

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1. What is the GCD of 586, 572, 25, 520?

GCD of 586, 572, 25, 520 is 1

2. Where do I get the detailed procedure to find GCD of 586, 572, 25, 520?

You can find a detailed procedure to find GCD of 586, 572, 25, 520 on our page.

3. How to find GCD of 586, 572, 25, 520 on a calculator?

You can find the GCD of 586, 572, 25, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.