GCD of 260, 107, 870, 872 Calculator

Given Input numbers are 260, 107, 870, 872

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 872

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

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

Greatest Common Divisior

We found the divisors of 260, 107, 870, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 107, 870, 872 is 1.

Therefore, GCD of numbers 260, 107, 870, 872 is 1

Given Input Data is 260, 107, 870, 872

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 107 is 107

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

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(260, 107) = 27820

GCD(260, 107) = ( 260 x 107 ) / 27820

GCD(260, 107) = 27820 / 27820

GCD(260, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 260, 107, 870, 872 is 1

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1. What is the GCD of 260, 107, 870, 872?

GCD of 260, 107, 870, 872 is 1

2. Where do I get the detailed procedure to find GCD of 260, 107, 870, 872?

You can find a detailed procedure to find GCD of 260, 107, 870, 872 on our page.

3. How to find GCD of 260, 107, 870, 872 on a calculator?

You can find the GCD of 260, 107, 870, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.