GCD of 228, 556, 796 Calculator

Given Input numbers are 228, 556, 796

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 228, 556, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 556, 796 is 4.

Therefore, GCD of numbers 228, 556, 796 is 4

Given Input Data is 228, 556, 796

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 796 is 2 x 2 x 199

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(228, 556) = 31692

GCD(228, 556) = ( 228 x 556 ) / 31692

GCD(228, 556) = 126768 / 31692

GCD(228, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 796

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

LCM(4, 796) = 796

GCD(4, 796) = ( 4 x 796 ) / 796

GCD(4, 796) = 3184 / 796

GCD(4, 796) = 4

GCD of 228, 556, 796 is 4

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1. What is the GCD of 228, 556, 796?

GCD of 228, 556, 796 is 4

2. Where do I get the detailed procedure to find GCD of 228, 556, 796?

You can find a detailed procedure to find GCD of 228, 556, 796 on our page.

3. How to find GCD of 228, 556, 796 on a calculator?

You can find the GCD of 228, 556, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.