GCD of 800, 808, 307, 204 Calculator

Given Input numbers are 800, 808, 307, 204

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

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

Greatest Common Divisior

We found the divisors of 800, 808, 307, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 808, 307, 204 is 1.

Therefore, GCD of numbers 800, 808, 307, 204 is 1

Given Input Data is 800, 808, 307, 204

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 307 is 307

Prime Factorization of 204 is 2 x 2 x 3 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(800, 808) = 80800

GCD(800, 808) = ( 800 x 808 ) / 80800

GCD(800, 808) = 646400 / 80800

GCD(800, 808) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 307

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

LCM(8, 307) = 2456

GCD(8, 307) = ( 8 x 307 ) / 2456

GCD(8, 307) = 2456 / 2456

GCD(8, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 800, 808, 307, 204 is 1

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1. What is the GCD of 800, 808, 307, 204?

GCD of 800, 808, 307, 204 is 1

2. Where do I get the detailed procedure to find GCD of 800, 808, 307, 204?

You can find a detailed procedure to find GCD of 800, 808, 307, 204 on our page.

3. How to find GCD of 800, 808, 307, 204 on a calculator?

You can find the GCD of 800, 808, 307, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.