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 313, 789, 43, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 789, 43, 791 is 1
GCD(313, 789, 43, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 789, 43, 791 is 1
GCD(313, 789, 43, 791) = 1
Given Input numbers are 313, 789, 43, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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 313, 789, 43, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 789, 43, 791 is 1.
Therefore, GCD of numbers 313, 789, 43, 791 is 1
Given Input Data is 313, 789, 43, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 789 is 3 x 263
Prime Factorization of 43 is 43
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(313, 789) = 246957
GCD(313, 789) = ( 313 x 789 ) / 246957
GCD(313, 789) = 246957 / 246957
GCD(313, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 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 313, 789, 43, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 789, 43, 791?
GCD of 313, 789, 43, 791 is 1
2. Where do I get the detailed procedure to find GCD of 313, 789, 43, 791?
You can find a detailed procedure to find GCD of 313, 789, 43, 791 on our page.
3. How to find GCD of 313, 789, 43, 791 on a calculator?
You can find the GCD of 313, 789, 43, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.