GCD of 204, 422, 47, 256 Calculator

Given Input numbers are 204, 422, 47, 256

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 204, 422, 47, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 422, 47, 256 is 1.

Therefore, GCD of numbers 204, 422, 47, 256 is 1

Given Input Data is 204, 422, 47, 256

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 422 is 2 x 211

Prime Factorization of 47 is 47

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 422) = 43044

GCD(204, 422) = ( 204 x 422 ) / 43044

GCD(204, 422) = 86088 / 43044

GCD(204, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 204, 422, 47, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 466, 43, 229
• GCD of 429, 273, 65, 635
• GCD of 973, 479, 13, 675
• GCD of 871, 146, 86, 395
• GCD of 190, 429, 84, 546

1. What is the GCD of 204, 422, 47, 256?

GCD of 204, 422, 47, 256 is 1

2. Where do I get the detailed procedure to find GCD of 204, 422, 47, 256?

You can find a detailed procedure to find GCD of 204, 422, 47, 256 on our page.

3. How to find GCD of 204, 422, 47, 256 on a calculator?

You can find the GCD of 204, 422, 47, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.