GCD of 204, 816, 917, 478 Calculator

Given Input numbers are 204, 816, 917, 478

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 204, 816, 917, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 816, 917, 478 is 1.

Therefore, GCD of numbers 204, 816, 917, 478 is 1

Given Input Data is 204, 816, 917, 478

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 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 917 is 7 x 131

Prime Factorization of 478 is 2 x 239

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, 816) = 816

GCD(204, 816) = ( 204 x 816 ) / 816

GCD(204, 816) = 166464 / 816

GCD(204, 816) = 204

Step2:

Here we consider the GCD from the above i.e. 204 as first number and the next as 917

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

LCM(204, 917) = 187068

GCD(204, 917) = ( 204 x 917 ) / 187068

GCD(204, 917) = 187068 / 187068

GCD(204, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 204, 816, 917, 478 is 1

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1. What is the GCD of 204, 816, 917, 478?

GCD of 204, 816, 917, 478 is 1

2. Where do I get the detailed procedure to find GCD of 204, 816, 917, 478?

You can find a detailed procedure to find GCD of 204, 816, 917, 478 on our page.

3. How to find GCD of 204, 816, 917, 478 on a calculator?

You can find the GCD of 204, 816, 917, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.