GCD of 228, 588, 372 Calculator

Given Input numbers are 228, 588, 372

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 228, 588, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 588, 372 is 12.

Therefore, GCD of numbers 228, 588, 372 is 12

Given Input Data is 228, 588, 372

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 372 is 2 x 2 x 3 x 31

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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, 588) = 11172

GCD(228, 588) = ( 228 x 588 ) / 11172

GCD(228, 588) = 134064 / 11172

GCD(228, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 372

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

LCM(12, 372) = 372

GCD(12, 372) = ( 12 x 372 ) / 372

GCD(12, 372) = 4464 / 372

GCD(12, 372) = 12

GCD of 228, 588, 372 is 12

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1. What is the GCD of 228, 588, 372?

GCD of 228, 588, 372 is 12

2. Where do I get the detailed procedure to find GCD of 228, 588, 372?

You can find a detailed procedure to find GCD of 228, 588, 372 on our page.

3. How to find GCD of 228, 588, 372 on a calculator?

You can find the GCD of 228, 588, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.