Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 800, 808, 307, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 808, 307, 204 is 1
GCD(800, 808, 307, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 808, 307, 204 is 1
GCD(800, 808, 307, 204) = 1
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
Here are some samples of GCD of Numbers calculations.
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.