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 813, 343, 22, 866 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 343, 22, 866 is 1
GCD(813, 343, 22, 866) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 343, 22, 866 is 1
GCD(813, 343, 22, 866) = 1
Given Input numbers are 813, 343, 22, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 813, 343, 22, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 343, 22, 866 is 1.
Therefore, GCD of numbers 813, 343, 22, 866 is 1
Given Input Data is 813, 343, 22, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 22 is 2 x 11
Prime Factorization of 866 is 2 x 433
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(813, 343) = 278859
GCD(813, 343) = ( 813 x 343 ) / 278859
GCD(813, 343) = 278859 / 278859
GCD(813, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
GCD of 813, 343, 22, 866 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 343, 22, 866?
GCD of 813, 343, 22, 866 is 1
2. Where do I get the detailed procedure to find GCD of 813, 343, 22, 866?
You can find a detailed procedure to find GCD of 813, 343, 22, 866 on our page.
3. How to find GCD of 813, 343, 22, 866 on a calculator?
You can find the GCD of 813, 343, 22, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.