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 819, 778, 21, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 778, 21, 113 is 1
GCD(819, 778, 21, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 778, 21, 113 is 1
GCD(819, 778, 21, 113) = 1
Given Input numbers are 819, 778, 21, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 819, 778, 21, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 778, 21, 113 is 1.
Therefore, GCD of numbers 819, 778, 21, 113 is 1
Given Input Data is 819, 778, 21, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 778 is 2 x 389
Prime Factorization of 21 is 3 x 7
Prime Factorization of 113 is 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(819, 778) = 637182
GCD(819, 778) = ( 819 x 778 ) / 637182
GCD(819, 778) = 637182 / 637182
GCD(819, 778) = 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 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 819, 778, 21, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 778, 21, 113?
GCD of 819, 778, 21, 113 is 1
2. Where do I get the detailed procedure to find GCD of 819, 778, 21, 113?
You can find a detailed procedure to find GCD of 819, 778, 21, 113 on our page.
3. How to find GCD of 819, 778, 21, 113 on a calculator?
You can find the GCD of 819, 778, 21, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.