GCD of 876, 844, 806, 988 Calculator

Given Input numbers are 876, 844, 806, 988

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 876, 844, 806, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 844, 806, 988 is 2.

Therefore, GCD of numbers 876, 844, 806, 988 is 2

Given Input Data is 876, 844, 806, 988

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 844 is 2 x 2 x 211

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(876, 844) = 184836

GCD(876, 844) = ( 876 x 844 ) / 184836

GCD(876, 844) = 739344 / 184836

GCD(876, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 806

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

LCM(4, 806) = 1612

GCD(4, 806) = ( 4 x 806 ) / 1612

GCD(4, 806) = 3224 / 1612

GCD(4, 806) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 876, 844, 806, 988 is 2

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1. What is the GCD of 876, 844, 806, 988?

GCD of 876, 844, 806, 988 is 2

2. Where do I get the detailed procedure to find GCD of 876, 844, 806, 988?

You can find a detailed procedure to find GCD of 876, 844, 806, 988 on our page.

3. How to find GCD of 876, 844, 806, 988 on a calculator?

You can find the GCD of 876, 844, 806, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.