GCD of 26, 580, 872, 530 Calculator

Given Input numbers are 26, 580, 872, 530

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 26, 580, 872, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 580, 872, 530 is 2.

Therefore, GCD of numbers 26, 580, 872, 530 is 2

Given Input Data is 26, 580, 872, 530

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

Prime Factorization of 26 is 2 x 13

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 530 is 2 x 5 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(26, 580) = 7540

GCD(26, 580) = ( 26 x 580 ) / 7540

GCD(26, 580) = 15080 / 7540

GCD(26, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

GCD of 26, 580, 872, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 744, 958, 722
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1. What is the GCD of 26, 580, 872, 530?

GCD of 26, 580, 872, 530 is 2

2. Where do I get the detailed procedure to find GCD of 26, 580, 872, 530?

You can find a detailed procedure to find GCD of 26, 580, 872, 530 on our page.

3. How to find GCD of 26, 580, 872, 530 on a calculator?

You can find the GCD of 26, 580, 872, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.