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 875, 331, 308, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 331, 308, 829 is 1
GCD(875, 331, 308, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 331, 308, 829 is 1
GCD(875, 331, 308, 829) = 1
Given Input numbers are 875, 331, 308, 829
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 875, 331, 308, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 331, 308, 829 is 1.
Therefore, GCD of numbers 875, 331, 308, 829 is 1
Given Input Data is 875, 331, 308, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 331 is 331
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 829 is 829
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(875, 331) = 289625
GCD(875, 331) = ( 875 x 331 ) / 289625
GCD(875, 331) = 289625 / 289625
GCD(875, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
GCD of 875, 331, 308, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 331, 308, 829?
GCD of 875, 331, 308, 829 is 1
2. Where do I get the detailed procedure to find GCD of 875, 331, 308, 829?
You can find a detailed procedure to find GCD of 875, 331, 308, 829 on our page.
3. How to find GCD of 875, 331, 308, 829 on a calculator?
You can find the GCD of 875, 331, 308, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.