GCD of 204, 546, 399, 364 Calculator

Given Input numbers are 204, 546, 399, 364

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (204, 546, 399, 364) = 1.

Given numbers are 204, 546, 399, 364

The list of prime factors of all numbers are

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

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 399 are 3 x 7 x 19

Prime factors of 364 are 2 x 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 204, 546, 399, 364

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

Apply this formula for all numbers.

Step1:

LCM(204, 546) = 18564

GCD(204, 546) = ( 204 x 546 ) / 18564

= 204 / 546

= 204

Step2:

LCM(6, 399) = 798

GCD(6, 399) = ( 6 x 399 ) / 798

= 6 / 399

= 6

Step3:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

So, Greatest Common Divisor of 204, 546, 399, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 274, 316, 263
• GCD of 635, 461, 100, 645
• GCD of 623, 271, 317, 861
• GCD of 937, 768, 790, 413
• GCD of 167, 523, 607, 797

Given numbers are 204, 546, 399, 364
The greatest common divisor of numbers 204, 546, 399, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 546, 399, 364 is 1.

1. What is the GCD of 204, 546, 399, 364?

GCD of given numbers 204, 546, 399, 364 is 1

2. How to calculate the greatest common divisor of 204, 546, 399, 364?

We can find the highest common divisor of 204, 546, 399, 364 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, 546, 399, 364 i.e 1.

3. How can I use the GCD of 204, 546, 399, 364Calculator?

Out the numbers 204, 546, 399, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.