GCD of 924, 916, 866, 876 Calculator

Given Input numbers are 924, 916, 866, 876

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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

Greatest Common Divisior

We found the divisors of 924, 916, 866, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 916, 866, 876 is 2.

Therefore, GCD of numbers 924, 916, 866, 876 is 2

Given Input Data is 924, 916, 866, 876

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 866 is 2 x 433

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

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(924, 916) = 211596

GCD(924, 916) = ( 924 x 916 ) / 211596

GCD(924, 916) = 846384 / 211596

GCD(924, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 866

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

LCM(4, 866) = 1732

GCD(4, 866) = ( 4 x 866 ) / 1732

GCD(4, 866) = 3464 / 1732

GCD(4, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

GCD of 924, 916, 866, 876 is 2

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1. What is the GCD of 924, 916, 866, 876?

GCD of 924, 916, 866, 876 is 2

2. Where do I get the detailed procedure to find GCD of 924, 916, 866, 876?

You can find a detailed procedure to find GCD of 924, 916, 866, 876 on our page.

3. How to find GCD of 924, 916, 866, 876 on a calculator?

You can find the GCD of 924, 916, 866, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.