GCD of 204, 349, 184, 390 Calculator

Given Input numbers are 204, 349, 184, 390

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 204, 349, 184, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 349, 184, 390 is 1.

Therefore, GCD of numbers 204, 349, 184, 390 is 1

Given Input Data is 204, 349, 184, 390

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 349 is 349

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 390 is 2 x 3 x 5 x 13

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, 349) = 71196

GCD(204, 349) = ( 204 x 349 ) / 71196

GCD(204, 349) = 71196 / 71196

GCD(204, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 204, 349, 184, 390 is 1

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1. What is the GCD of 204, 349, 184, 390?

GCD of 204, 349, 184, 390 is 1

2. Where do I get the detailed procedure to find GCD of 204, 349, 184, 390?

You can find a detailed procedure to find GCD of 204, 349, 184, 390 on our page.

3. How to find GCD of 204, 349, 184, 390 on a calculator?

You can find the GCD of 204, 349, 184, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.