Where do I get the detailed procedure to find GCD of 390, 906, 204?

You can find a detailed procedure to find GCD of 390, 906, 204 on our page.

How to find GCD of 390, 906, 204 on a calculator?

You can find the GCD of 390, 906, 204 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 390, 906, 204 Calculator

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

Online GCD Calculator is useful to find the GCD of 390, 906, 204 quickly. Get the easiest ways to solve the greatest common divisor of 390, 906, 204 i.e 6 in different methods as follows.

How to Find GCD of Numbers 390, 906, 204 with Factoring?

Given Input numbers are 390, 906, 204

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

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

GCD of numbers is the greatest common divisor

So, the GCD (390, 906, 204) = 6.

Find GCD of 390, 906, 204 using Prime Factorization

Given numbers are 390, 906, 204

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 906 are 2 x 3 x 151

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 390, 906, 204 is 6.

Steps to Calculate GCD of 390, 906, 204 using LCM Formula

Given numbers are 390, 906, 204

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

Apply this formula for all numbers.

Step1:

LCM(390, 906) = 58890

GCD(390, 906) = ( 390 x 906 ) / 58890

= 390 / 906

= 390

Step2:

LCM(6, 204) = 204

GCD(6, 204) = ( 6 x 204 ) / 204

= 6 / 204

= 6

So, Greatest Common Divisor of 390, 906, 204 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 390, 906, 204

Given numbers are 390, 906, 204
The greatest common divisor of numbers 390, 906, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 906, 204 is 6.

FAQs on GCD of 390, 906, 204 Calculator

1. What is the GCD of 390, 906, 204?

GCD of given numbers 390, 906, 204 is 6

2. How to calculate the greatest common divisor of 390, 906, 204?

We can find the highest common divisor of 390, 906, 204 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 390, 906, 204 i.e 6.

3. How can I use the GCD of 390, 906, 204Calculator?

Out the numbers 390, 906, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.