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 797, 364, 312, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 364, 312, 821 is 1
GCD(797, 364, 312, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 364, 312, 821 is 1
GCD(797, 364, 312, 821) = 1
Given Input numbers are 797, 364, 312, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
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 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 797, 364, 312, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 364, 312, 821 is 1.
Therefore, GCD of numbers 797, 364, 312, 821 is 1
Given Input Data is 797, 364, 312, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 821 is 821
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(797, 364) = 290108
GCD(797, 364) = ( 797 x 364 ) / 290108
GCD(797, 364) = 290108 / 290108
GCD(797, 364) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
GCD of 797, 364, 312, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 364, 312, 821?
GCD of 797, 364, 312, 821 is 1
2. Where do I get the detailed procedure to find GCD of 797, 364, 312, 821?
You can find a detailed procedure to find GCD of 797, 364, 312, 821 on our page.
3. How to find GCD of 797, 364, 312, 821 on a calculator?
You can find the GCD of 797, 364, 312, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.