Where do I get the detailed procedure to find GCD of 204, 321, 189?

You can find a detailed procedure to find GCD of 204, 321, 189 on our page.

How to find GCD of 204, 321, 189 on a calculator?

You can find the GCD of 204, 321, 189 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 204, 321, 189 Calculator

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

Online GCD Calculator is useful to find the GCD of 204, 321, 189 quickly. Get the easiest ways to solve the greatest common divisor of 204, 321, 189 i.e 3 in different methods as follows.

How to Find GCD of Numbers 204, 321, 189 with Factoring?

Given Input numbers are 204, 321, 189

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

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (204, 321, 189) = 3.

Find GCD of 204, 321, 189 using Prime Factorization

Given numbers are 204, 321, 189

The list of prime factors of all numbers are

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

Prime factors of 321 are 3 x 107

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 204, 321, 189 is 3.

Steps to Calculate GCD of 204, 321, 189 using LCM Formula

Given numbers are 204, 321, 189

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

Apply this formula for all numbers.

Step1:

LCM(204, 321) = 21828

GCD(204, 321) = ( 204 x 321 ) / 21828

= 204 / 321

= 204

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

So, Greatest Common Divisor of 204, 321, 189 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 204, 321, 189

Given numbers are 204, 321, 189
The greatest common divisor of numbers 204, 321, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 321, 189 is 3.

FAQs on GCD of 204, 321, 189 Calculator

1. What is the GCD of 204, 321, 189?

GCD of given numbers 204, 321, 189 is 3

2. How to calculate the greatest common divisor of 204, 321, 189?

We can find the highest common divisor of 204, 321, 189 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 204, 321, 189 i.e 3.

3. How can I use the GCD of 204, 321, 189Calculator?

Out the numbers 204, 321, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.