GCD of 228, 214, 598, 676 Calculator

Given Input numbers are 228, 214, 598, 676

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 228, 214, 598, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 214, 598, 676 is 2.

Therefore, GCD of numbers 228, 214, 598, 676 is 2

Given Input Data is 228, 214, 598, 676

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 214 is 2 x 107

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 676 is 2 x 2 x 13 x 13

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, 214) = 24396

GCD(228, 214) = ( 228 x 214 ) / 24396

GCD(228, 214) = 48792 / 24396

GCD(228, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 228, 214, 598, 676 is 2

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1. What is the GCD of 228, 214, 598, 676?

GCD of 228, 214, 598, 676 is 2

2. Where do I get the detailed procedure to find GCD of 228, 214, 598, 676?

You can find a detailed procedure to find GCD of 228, 214, 598, 676 on our page.

3. How to find GCD of 228, 214, 598, 676 on a calculator?

You can find the GCD of 228, 214, 598, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.