GCD of 249, 438, 228 Calculator

Given Input numbers are 249, 438, 228

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 249, 438, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 438, 228 is 3.

Therefore, GCD of numbers 249, 438, 228 is 3

Given Input Data is 249, 438, 228

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 438 is 2 x 3 x 73

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(249, 438) = 36354

GCD(249, 438) = ( 249 x 438 ) / 36354

GCD(249, 438) = 109062 / 36354

GCD(249, 438) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

GCD of 249, 438, 228 is 3

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1. What is the GCD of 249, 438, 228?

GCD of 249, 438, 228 is 3

2. Where do I get the detailed procedure to find GCD of 249, 438, 228?

You can find a detailed procedure to find GCD of 249, 438, 228 on our page.

3. How to find GCD of 249, 438, 228 on a calculator?

You can find the GCD of 249, 438, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.