Where do I get the detailed procedure to find GCD of 228, 204, 156?

You can find a detailed procedure to find GCD of 228, 204, 156 on our page.

How to find GCD of 228, 204, 156 on a calculator?

You can find the GCD of 228, 204, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 228, 204, 156 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 228, 204, 156 quickly. Get the easiest ways to solve the greatest common divisor of 228, 204, 156 i.e 12 in different methods as follows.

How to Find GCD of Numbers 228, 204, 156 with Factoring?

Given Input numbers are 228, 204, 156

In the factoring method, we have to find the divisors of all numbers

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (228, 204, 156) = 12.

Find GCD of 228, 204, 156 using Prime Factorization

Given numbers are 228, 204, 156

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2² x 3¹

Therefore, GCD of 228, 204, 156 is 12.

Steps to Calculate GCD of 228, 204, 156 using LCM Formula

Given numbers are 228, 204, 156

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(228, 204) = 3876

GCD(228, 204) = ( 228 x 204 ) / 3876

= 228 / 204

= 228

Step2:

LCM(12, 156) = 156

GCD(12, 156) = ( 12 x 156 ) / 156

= 12 / 156

= 12

So, Greatest Common Divisor of 228, 204, 156 is 12

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 228, 204, 156

Given numbers are 228, 204, 156
The greatest common divisor of numbers 228, 204, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 204, 156 is 12.

FAQs on GCD of 228, 204, 156 Calculator

1. What is the GCD of 228, 204, 156?

GCD of given numbers 228, 204, 156 is 12

2. How to calculate the greatest common divisor of 228, 204, 156?

We can find the highest common divisor of 228, 204, 156 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 228, 204, 156 i.e 12.

3. How can I use the GCD of 228, 204, 156Calculator?

Out the numbers 228, 204, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.