GCD of 304, 478, 200, 255 Calculator

Given Input numbers are 304, 478, 200, 255

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 478

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

1, 2, 239, 478

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 304, 478, 200, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 478, 200, 255 is 1.

Therefore, GCD of numbers 304, 478, 200, 255 is 1

Given Input Data is 304, 478, 200, 255

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 478 is 2 x 239

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 255 is 3 x 5 x 17

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(304, 478) = 72656

GCD(304, 478) = ( 304 x 478 ) / 72656

GCD(304, 478) = 145312 / 72656

GCD(304, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

GCD of 304, 478, 200, 255 is 1

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1. What is the GCD of 304, 478, 200, 255?

GCD of 304, 478, 200, 255 is 1

2. Where do I get the detailed procedure to find GCD of 304, 478, 200, 255?

You can find a detailed procedure to find GCD of 304, 478, 200, 255 on our page.

3. How to find GCD of 304, 478, 200, 255 on a calculator?

You can find the GCD of 304, 478, 200, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.