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, 152, 27, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 152, 27, 339 is 1
GCD(831, 152, 27, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 152, 27, 339 is 1
GCD(831, 152, 27, 339) = 1
Given Input numbers are 831, 152, 27, 339
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 831, 152, 27, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 152, 27, 339 is 1.
Therefore, GCD of numbers 831, 152, 27, 339 is 1
Given Input Data is 831, 152, 27, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 339 is 3 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(831, 152) = 126312
GCD(831, 152) = ( 831 x 152 ) / 126312
GCD(831, 152) = 126312 / 126312
GCD(831, 152) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 831, 152, 27, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 152, 27, 339?
GCD of 831, 152, 27, 339 is 1
2. Where do I get the detailed procedure to find GCD of 831, 152, 27, 339?
You can find a detailed procedure to find GCD of 831, 152, 27, 339 on our page.
3. How to find GCD of 831, 152, 27, 339 on a calculator?
You can find the GCD of 831, 152, 27, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.