GCD of 876, 996, 13, 878 Calculator

Given Input numbers are 876, 996, 13, 878

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 876, 996, 13, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 996, 13, 878 is 1.

Therefore, GCD of numbers 876, 996, 13, 878 is 1

Given Input Data is 876, 996, 13, 878

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 13 is 13

Prime Factorization of 878 is 2 x 439

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(876, 996) = 72708

GCD(876, 996) = ( 876 x 996 ) / 72708

GCD(876, 996) = 872496 / 72708

GCD(876, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 13

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

LCM(12, 13) = 156

GCD(12, 13) = ( 12 x 13 ) / 156

GCD(12, 13) = 156 / 156

GCD(12, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 876, 996, 13, 878 is 1

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1. What is the GCD of 876, 996, 13, 878?

GCD of 876, 996, 13, 878 is 1

2. Where do I get the detailed procedure to find GCD of 876, 996, 13, 878?

You can find a detailed procedure to find GCD of 876, 996, 13, 878 on our page.

3. How to find GCD of 876, 996, 13, 878 on a calculator?

You can find the GCD of 876, 996, 13, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.