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 867, 313, 323, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 313, 323, 831 is 1
GCD(867, 313, 323, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 313, 323, 831 is 1
GCD(867, 313, 323, 831) = 1
Given Input numbers are 867, 313, 323, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 867, 313, 323, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 313, 323, 831 is 1.
Therefore, GCD of numbers 867, 313, 323, 831 is 1
Given Input Data is 867, 313, 323, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 313 is 313
Prime Factorization of 323 is 17 x 19
Prime Factorization of 831 is 3 x 277
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(867, 313) = 271371
GCD(867, 313) = ( 867 x 313 ) / 271371
GCD(867, 313) = 271371 / 271371
GCD(867, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 867, 313, 323, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 313, 323, 831?
GCD of 867, 313, 323, 831 is 1
2. Where do I get the detailed procedure to find GCD of 867, 313, 323, 831?
You can find a detailed procedure to find GCD of 867, 313, 323, 831 on our page.
3. How to find GCD of 867, 313, 323, 831 on a calculator?
You can find the GCD of 867, 313, 323, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.