GCD of 286, 580, 872, 620 Calculator

Given Input numbers are 286, 580, 872, 620

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 286, 580, 872, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 580, 872, 620 is 2.

Therefore, GCD of numbers 286, 580, 872, 620 is 2

Given Input Data is 286, 580, 872, 620

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

Prime Factorization of 286 is 2 x 11 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 620 is 2 x 2 x 5 x 31

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(286, 580) = 82940

GCD(286, 580) = ( 286 x 580 ) / 82940

GCD(286, 580) = 165880 / 82940

GCD(286, 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 620

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

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

GCD(2, 620) = 1240 / 620

GCD(2, 620) = 2

GCD of 286, 580, 872, 620 is 2

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1. What is the GCD of 286, 580, 872, 620?

GCD of 286, 580, 872, 620 is 2

2. Where do I get the detailed procedure to find GCD of 286, 580, 872, 620?

You can find a detailed procedure to find GCD of 286, 580, 872, 620 on our page.

3. How to find GCD of 286, 580, 872, 620 on a calculator?

You can find the GCD of 286, 580, 872, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.