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 721, 384, 808, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 384, 808, 559 is 1
GCD(721, 384, 808, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 384, 808, 559 is 1
GCD(721, 384, 808, 559) = 1
Given Input numbers are 721, 384, 808, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 721, 384, 808, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 384, 808, 559 is 1.
Therefore, GCD of numbers 721, 384, 808, 559 is 1
Given Input Data is 721, 384, 808, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 559 is 13 x 43
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(721, 384) = 276864
GCD(721, 384) = ( 721 x 384 ) / 276864
GCD(721, 384) = 276864 / 276864
GCD(721, 384) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 721, 384, 808, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 384, 808, 559?
GCD of 721, 384, 808, 559 is 1
2. Where do I get the detailed procedure to find GCD of 721, 384, 808, 559?
You can find a detailed procedure to find GCD of 721, 384, 808, 559 on our page.
3. How to find GCD of 721, 384, 808, 559 on a calculator?
You can find the GCD of 721, 384, 808, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.