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 19, 721, 816, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 721, 816, 791 is 1
GCD(19, 721, 816, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 721, 816, 791 is 1
GCD(19, 721, 816, 791) = 1
Given Input numbers are 19, 721, 816, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 19, 721, 816, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 721, 816, 791 is 1.
Therefore, GCD of numbers 19, 721, 816, 791 is 1
Given Input Data is 19, 721, 816, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 721 is 7 x 103
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 791 is 7 x 113
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(19, 721) = 13699
GCD(19, 721) = ( 19 x 721 ) / 13699
GCD(19, 721) = 13699 / 13699
GCD(19, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
GCD of 19, 721, 816, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 721, 816, 791?
GCD of 19, 721, 816, 791 is 1
2. Where do I get the detailed procedure to find GCD of 19, 721, 816, 791?
You can find a detailed procedure to find GCD of 19, 721, 816, 791 on our page.
3. How to find GCD of 19, 721, 816, 791 on a calculator?
You can find the GCD of 19, 721, 816, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.