GCD of 228, 363, 204 Calculator

Given Input numbers are 228, 363, 204

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

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 (228, 363, 204) = 3.

Given numbers are 228, 363, 204

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 363 are 3 x 11 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 228, 363, 204 is 3.

Given numbers are 228, 363, 204

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

Apply this formula for all numbers.

Step1:

LCM(228, 363) = 27588

GCD(228, 363) = ( 228 x 363 ) / 27588

= 228 / 363

= 228

Step2:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 228, 363, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 188, 643
• GCD of 925, 777, 709
• GCD of 525, 788, 444
• GCD of 680, 166, 821
• GCD of 674, 876, 870

Given numbers are 228, 363, 204
The greatest common divisor of numbers 228, 363, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 363, 204 is 3.

1. What is the GCD of 228, 363, 204?

GCD of given numbers 228, 363, 204 is 3

2. How to calculate the greatest common divisor of 228, 363, 204?

We can find the highest common divisor of 228, 363, 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 228, 363, 204 i.e 3.

3. How can I use the GCD of 228, 363, 204Calculator?

Out the numbers 228, 363, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.