GCD of 130, 872, 51, 478 Calculator

Given Input numbers are 130, 872, 51, 478

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 130, 872, 51, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 872, 51, 478 is 1.

Therefore, GCD of numbers 130, 872, 51, 478 is 1

Given Input Data is 130, 872, 51, 478

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

Prime Factorization of 130 is 2 x 5 x 13

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 478 is 2 x 239

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(130, 872) = 56680

GCD(130, 872) = ( 130 x 872 ) / 56680

GCD(130, 872) = 113360 / 56680

GCD(130, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 130, 872, 51, 478 is 1

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1. What is the GCD of 130, 872, 51, 478?

GCD of 130, 872, 51, 478 is 1

2. Where do I get the detailed procedure to find GCD of 130, 872, 51, 478?

You can find a detailed procedure to find GCD of 130, 872, 51, 478 on our page.

3. How to find GCD of 130, 872, 51, 478 on a calculator?

You can find the GCD of 130, 872, 51, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.