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 831, 376, 39, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 376, 39, 312 is 1
GCD(831, 376, 39, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 376, 39, 312 is 1
GCD(831, 376, 39, 312) = 1
Given Input numbers are 831, 376, 39, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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
Greatest Common Divisior
We found the divisors of 831, 376, 39, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 376, 39, 312 is 1.
Therefore, GCD of numbers 831, 376, 39, 312 is 1
Given Input Data is 831, 376, 39, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 39 is 3 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(831, 376) = 312456
GCD(831, 376) = ( 831 x 376 ) / 312456
GCD(831, 376) = 312456 / 312456
GCD(831, 376) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
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
GCD of 831, 376, 39, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 376, 39, 312?
GCD of 831, 376, 39, 312 is 1
2. Where do I get the detailed procedure to find GCD of 831, 376, 39, 312?
You can find a detailed procedure to find GCD of 831, 376, 39, 312 on our page.
3. How to find GCD of 831, 376, 39, 312 on a calculator?
You can find the GCD of 831, 376, 39, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.