GCD of 228, 374, 324 Calculator

Given Input numbers are 228, 374, 324

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 228, 374, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 374, 324 is 2.

Therefore, GCD of numbers 228, 374, 324 is 2

Given Input Data is 228, 374, 324

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 374 is 2 x 11 x 17

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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, 374) = 42636

GCD(228, 374) = ( 228 x 374 ) / 42636

GCD(228, 374) = 85272 / 42636

GCD(228, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 228, 374, 324 is 2

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1. What is the GCD of 228, 374, 324?

GCD of 228, 374, 324 is 2

2. Where do I get the detailed procedure to find GCD of 228, 374, 324?

You can find a detailed procedure to find GCD of 228, 374, 324 on our page.

3. How to find GCD of 228, 374, 324 on a calculator?

You can find the GCD of 228, 374, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.