GCD of 422, 628, 26, 228 Calculator

Given Input numbers are 422, 628, 26, 228

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 422, 628, 26, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 628, 26, 228 is 2.

Therefore, GCD of numbers 422, 628, 26, 228 is 2

Given Input Data is 422, 628, 26, 228

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 26 is 2 x 13

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

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(422, 628) = 132508

GCD(422, 628) = ( 422 x 628 ) / 132508

GCD(422, 628) = 265016 / 132508

GCD(422, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 422, 628, 26, 228 is 2

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1. What is the GCD of 422, 628, 26, 228?

GCD of 422, 628, 26, 228 is 2

2. Where do I get the detailed procedure to find GCD of 422, 628, 26, 228?

You can find a detailed procedure to find GCD of 422, 628, 26, 228 on our page.

3. How to find GCD of 422, 628, 26, 228 on a calculator?

You can find the GCD of 422, 628, 26, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.