GCD of 204, 729, 369, 234 Calculator

Given Input numbers are 204, 729, 369, 234

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 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (204, 729, 369, 234) = 3.

Given numbers are 204, 729, 369, 234

The list of prime factors of all numbers are

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

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 369 are 3 x 3 x 41

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 204, 729, 369, 234 is 3.

Given numbers are 204, 729, 369, 234

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

Apply this formula for all numbers.

Step1:

LCM(204, 729) = 49572

GCD(204, 729) = ( 204 x 729 ) / 49572

= 204 / 729

= 204

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 204, 729, 369, 234 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 287, 966, 962
• GCD of 466, 777, 272, 272
• GCD of 524, 442, 542, 980
• GCD of 603, 560, 461, 886
• GCD of 292, 890, 615, 936

Given numbers are 204, 729, 369, 234
The greatest common divisor of numbers 204, 729, 369, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 729, 369, 234 is 3.

1. What is the GCD of 204, 729, 369, 234?

GCD of given numbers 204, 729, 369, 234 is 3

2. How to calculate the greatest common divisor of 204, 729, 369, 234?

We can find the highest common divisor of 204, 729, 369, 234 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, 729, 369, 234 i.e 3.

3. How can I use the GCD of 204, 729, 369, 234Calculator?

Out the numbers 204, 729, 369, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.