GCD of 204, 327, 318, 683 Calculator

Given Input numbers are 204, 327, 318, 683

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 204, 327, 318, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 327, 318, 683 is 1.

Therefore, GCD of numbers 204, 327, 318, 683 is 1

Given Input Data is 204, 327, 318, 683

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 327 is 3 x 109

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 683 is 683

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(204, 327) = 22236

GCD(204, 327) = ( 204 x 327 ) / 22236

GCD(204, 327) = 66708 / 22236

GCD(204, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

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

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 683

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

LCM(3, 683) = 2049

GCD(3, 683) = ( 3 x 683 ) / 2049

GCD(3, 683) = 2049 / 2049

GCD(3, 683) = 1

GCD of 204, 327, 318, 683 is 1

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1. What is the GCD of 204, 327, 318, 683?

GCD of 204, 327, 318, 683 is 1

2. Where do I get the detailed procedure to find GCD of 204, 327, 318, 683?

You can find a detailed procedure to find GCD of 204, 327, 318, 683 on our page.

3. How to find GCD of 204, 327, 318, 683 on a calculator?

You can find the GCD of 204, 327, 318, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.