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GCD of 204, 612, 951 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, 612, 951 quickly. Get the easiest ways to solve the greatest common divisor of 204, 612, 951 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 204, 612, 951 with Factoring?

Given Input numbers are 204, 612, 951

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951


GCD of numbers is the greatest common divisor

So, the GCD (204, 612, 951) = 3.

Find GCD of 204, 612, 951 using Prime Factorization

Given numbers are 204, 612, 951

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 951 are 3 x 317

The highest common occurrence is 31

Therefore, GCD of 204, 612, 951 is 3.

Steps to Calculate GCD of 204, 612, 951 using LCM Formula

Given numbers are 204, 612, 951

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

Apply this formula for all numbers.

Step1:

LCM(204, 612) = 612

GCD(204, 612) = ( 204 x 612 ) / 612

= 204 / 612

= 204


Step2:

LCM(204, 951) = 64668

GCD(204, 951) = ( 204 x 951 ) / 64668

= 204 / 951

= 204


So, Greatest Common Divisor of 204, 612, 951 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 204, 612, 951

Given numbers are 204, 612, 951
The greatest common divisor of numbers 204, 612, 951 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 612, 951 is 3.

FAQs on GCD of 204, 612, 951 Calculator

1. What is the GCD of 204, 612, 951?

GCD of given numbers 204, 612, 951 is 3


2. How to calculate the greatest common divisor of 204, 612, 951?

We can find the highest common divisor of 204, 612, 951 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, 612, 951 i.e 3.


3. How can I use the GCD of 204, 612, 951Calculator?

Out the numbers 204, 612, 951 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.