GCD of 756, 872, 10, 756 Calculator

Given Input numbers are 756, 872, 10, 756

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

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 756, 872, 10, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 872, 10, 756 is 2.

Therefore, GCD of numbers 756, 872, 10, 756 is 2

Given Input Data is 756, 872, 10, 756

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

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

Prime Factorization of 10 is 2 x 5

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

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(756, 872) = 164808

GCD(756, 872) = ( 756 x 872 ) / 164808

GCD(756, 872) = 659232 / 164808

GCD(756, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 756, 872, 10, 756 is 2

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1. What is the GCD of 756, 872, 10, 756?

GCD of 756, 872, 10, 756 is 2

2. Where do I get the detailed procedure to find GCD of 756, 872, 10, 756?

You can find a detailed procedure to find GCD of 756, 872, 10, 756 on our page.

3. How to find GCD of 756, 872, 10, 756 on a calculator?

You can find the GCD of 756, 872, 10, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.