GCD of 729, 324, 990, 204 Calculator

Given Input numbers are 729, 324, 990, 204

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

Divisors of 729 :

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

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 (729, 324, 990, 204) = 3.

Given numbers are 729, 324, 990, 204

The list of prime factors of all numbers are

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 729, 324, 990, 204 is 3.

Given numbers are 729, 324, 990, 204

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

Apply this formula for all numbers.

Step1:

LCM(729, 324) = 2916

GCD(729, 324) = ( 729 x 324 ) / 2916

= 729 / 324

= 729

Step2:

LCM(81, 990) = 8910

GCD(81, 990) = ( 81 x 990 ) / 8910

= 81 / 990

= 81

Step3:

LCM(9, 204) = 612

GCD(9, 204) = ( 9 x 204 ) / 612

= 9 / 204

= 9

So, Greatest Common Divisor of 729, 324, 990, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 290, 655, 897
• GCD of 699, 424, 302, 187
• GCD of 172, 906, 312, 653
• GCD of 766, 296, 156, 648
• GCD of 540, 779, 553, 119

Given numbers are 729, 324, 990, 204
The greatest common divisor of numbers 729, 324, 990, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 324, 990, 204 is 3.

1. What is the GCD of 729, 324, 990, 204?

GCD of given numbers 729, 324, 990, 204 is 3

2. How to calculate the greatest common divisor of 729, 324, 990, 204?

We can find the highest common divisor of 729, 324, 990, 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 729, 324, 990, 204 i.e 3.

3. How can I use the GCD of 729, 324, 990, 204Calculator?

Out the numbers 729, 324, 990, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.