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 203, 808, 21, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 203, 808, 21, 720 is 1
GCD(203, 808, 21, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 203, 808, 21, 720 is 1
GCD(203, 808, 21, 720) = 1
Given Input numbers are 203, 808, 21, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
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 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 203, 808, 21, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 808, 21, 720 is 1.
Therefore, GCD of numbers 203, 808, 21, 720 is 1
Given Input Data is 203, 808, 21, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 203 is 7 x 29
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 21 is 3 x 7
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(203, 808) = 164024
GCD(203, 808) = ( 203 x 808 ) / 164024
GCD(203, 808) = 164024 / 164024
GCD(203, 808) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 203, 808, 21, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 203, 808, 21, 720?
GCD of 203, 808, 21, 720 is 1
2. Where do I get the detailed procedure to find GCD of 203, 808, 21, 720?
You can find a detailed procedure to find GCD of 203, 808, 21, 720 on our page.
3. How to find GCD of 203, 808, 21, 720 on a calculator?
You can find the GCD of 203, 808, 21, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.