Where do I get the detailed procedure to find GCD of 657, 204, 330?

You can find a detailed procedure to find GCD of 657, 204, 330 on our page.

How to find GCD of 657, 204, 330 on a calculator?

You can find the GCD of 657, 204, 330 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 657, 204, 330 Calculator

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

Online GCD Calculator is useful to find the GCD of 657, 204, 330 quickly. Get the easiest ways to solve the greatest common divisor of 657, 204, 330 i.e 3 in different methods as follows.

How to Find GCD of Numbers 657, 204, 330 with Factoring?

Given Input numbers are 657, 204, 330

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (657, 204, 330) = 3.

Find GCD of 657, 204, 330 using Prime Factorization

Given numbers are 657, 204, 330

The list of prime factors of all numbers are

Prime factors of 657 are 3 x 3 x 73

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

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 657, 204, 330 is 3.

Steps to Calculate GCD of 657, 204, 330 using LCM Formula

Given numbers are 657, 204, 330

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

Apply this formula for all numbers.

Step1:

LCM(657, 204) = 44676

GCD(657, 204) = ( 657 x 204 ) / 44676

= 657 / 204

= 657

Step2:

LCM(3, 330) = 330

GCD(3, 330) = ( 3 x 330 ) / 330

= 3 / 330

= 3

So, Greatest Common Divisor of 657, 204, 330 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 657, 204, 330

Given numbers are 657, 204, 330
The greatest common divisor of numbers 657, 204, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 204, 330 is 3.

FAQs on GCD of 657, 204, 330 Calculator

1. What is the GCD of 657, 204, 330?

GCD of given numbers 657, 204, 330 is 3

2. How to calculate the greatest common divisor of 657, 204, 330?

We can find the highest common divisor of 657, 204, 330 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 657, 204, 330 i.e 3.

3. How can I use the GCD of 657, 204, 330Calculator?

Out the numbers 657, 204, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.