GCD of 100, 756, 872 Calculator

Given Input numbers are 100, 756, 872

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 100, 756, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 756, 872 is 4.

Therefore, GCD of numbers 100, 756, 872 is 4

Given Input Data is 100, 756, 872

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(100, 756) = 18900

GCD(100, 756) = ( 100 x 756 ) / 18900

GCD(100, 756) = 75600 / 18900

GCD(100, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 872

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

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

GCD(4, 872) = 3488 / 872

GCD(4, 872) = 4

GCD of 100, 756, 872 is 4

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1. What is the GCD of 100, 756, 872?

GCD of 100, 756, 872 is 4

2. Where do I get the detailed procedure to find GCD of 100, 756, 872?

You can find a detailed procedure to find GCD of 100, 756, 872 on our page.

3. How to find GCD of 100, 756, 872 on a calculator?

You can find the GCD of 100, 756, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.