GCD of 228, 822, 464, 856 Calculator

Given Input numbers are 228, 822, 464, 856

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 228, 822, 464, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 822, 464, 856 is 2.

Therefore, GCD of numbers 228, 822, 464, 856 is 2

Given Input Data is 228, 822, 464, 856

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 822 is 2 x 3 x 137

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

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(228, 822) = 31236

GCD(228, 822) = ( 228 x 822 ) / 31236

GCD(228, 822) = 187416 / 31236

GCD(228, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 464

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

LCM(6, 464) = 1392

GCD(6, 464) = ( 6 x 464 ) / 1392

GCD(6, 464) = 2784 / 1392

GCD(6, 464) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 228, 822, 464, 856 is 2

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1. What is the GCD of 228, 822, 464, 856?

GCD of 228, 822, 464, 856 is 2

2. Where do I get the detailed procedure to find GCD of 228, 822, 464, 856?

You can find a detailed procedure to find GCD of 228, 822, 464, 856 on our page.

3. How to find GCD of 228, 822, 464, 856 on a calculator?

You can find the GCD of 228, 822, 464, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.