GCD of 656, 612, 856 Calculator

Given Input numbers are 656, 612, 856

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 656, 612, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 612, 856 is 4.

Therefore, GCD of numbers 656, 612, 856 is 4

Given Input Data is 656, 612, 856

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(656, 612) = 100368

GCD(656, 612) = ( 656 x 612 ) / 100368

GCD(656, 612) = 401472 / 100368

GCD(656, 612) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 856

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

LCM(4, 856) = 856

GCD(4, 856) = ( 4 x 856 ) / 856

GCD(4, 856) = 3424 / 856

GCD(4, 856) = 4

GCD of 656, 612, 856 is 4

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1. What is the GCD of 656, 612, 856?

GCD of 656, 612, 856 is 4

2. Where do I get the detailed procedure to find GCD of 656, 612, 856?

You can find a detailed procedure to find GCD of 656, 612, 856 on our page.

3. How to find GCD of 656, 612, 856 on a calculator?

You can find the GCD of 656, 612, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.