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GCD of 204, 711, 138, 183 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, 711, 138, 183 quickly. Get the easiest ways to solve the greatest common divisor of 204, 711, 138, 183 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 204, 711, 138, 183 with Factoring?

Given Input numbers are 204, 711, 138, 183

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 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183


GCD of numbers is the greatest common divisor

So, the GCD (204, 711, 138, 183) = 3.

Find GCD of 204, 711, 138, 183 using Prime Factorization

Given numbers are 204, 711, 138, 183

The list of prime factors of all numbers are

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

Prime factors of 711 are 3 x 3 x 79

Prime factors of 138 are 2 x 3 x 23

Prime factors of 183 are 3 x 61

The highest common occurrence is 31

Therefore, GCD of 204, 711, 138, 183 is 3.

Steps to Calculate GCD of 204, 711, 138, 183 using LCM Formula

Given numbers are 204, 711, 138, 183

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

Apply this formula for all numbers.

Step1:

LCM(204, 711) = 48348

GCD(204, 711) = ( 204 x 711 ) / 48348

= 204 / 711

= 204


Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3


Step3:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3


So, Greatest Common Divisor of 204, 711, 138, 183 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 204, 711, 138, 183

Given numbers are 204, 711, 138, 183
The greatest common divisor of numbers 204, 711, 138, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 711, 138, 183 is 3.

FAQs on GCD of 204, 711, 138, 183 Calculator

1. What is the GCD of 204, 711, 138, 183?

GCD of given numbers 204, 711, 138, 183 is 3


2. How to calculate the greatest common divisor of 204, 711, 138, 183?

We can find the highest common divisor of 204, 711, 138, 183 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, 711, 138, 183 i.e 3.


3. How can I use the GCD of 204, 711, 138, 183Calculator?

Out the numbers 204, 711, 138, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.