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 793, 364, 521, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 364, 521, 713 is 1
GCD(793, 364, 521, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 364, 521, 713 is 1
GCD(793, 364, 521, 713) = 1
Given Input numbers are 793, 364, 521, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 793, 364, 521, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 364, 521, 713 is 1.
Therefore, GCD of numbers 793, 364, 521, 713 is 1
Given Input Data is 793, 364, 521, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 521 is 521
Prime Factorization of 713 is 23 x 31
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(793, 364) = 22204
GCD(793, 364) = ( 793 x 364 ) / 22204
GCD(793, 364) = 288652 / 22204
GCD(793, 364) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 521) = 6773
GCD(13, 521) = ( 13 x 521 ) / 6773
GCD(13, 521) = 6773 / 6773
GCD(13, 521) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
GCD of 793, 364, 521, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 364, 521, 713?
GCD of 793, 364, 521, 713 is 1
2. Where do I get the detailed procedure to find GCD of 793, 364, 521, 713?
You can find a detailed procedure to find GCD of 793, 364, 521, 713 on our page.
3. How to find GCD of 793, 364, 521, 713 on a calculator?
You can find the GCD of 793, 364, 521, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.