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, 395, 675, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 395, 675, 351 is 1
GCD(831, 395, 675, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 395, 675, 351 is 1
GCD(831, 395, 675, 351) = 1
Given Input numbers are 831, 395, 675, 351
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 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 831, 395, 675, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 395, 675, 351 is 1.
Therefore, GCD of numbers 831, 395, 675, 351 is 1
Given Input Data is 831, 395, 675, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 395 is 5 x 79
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 351 is 3 x 3 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, 395) = 328245
GCD(831, 395) = ( 831 x 395 ) / 328245
GCD(831, 395) = 328245 / 328245
GCD(831, 395) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 831, 395, 675, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 395, 675, 351?
GCD of 831, 395, 675, 351 is 1
2. Where do I get the detailed procedure to find GCD of 831, 395, 675, 351?
You can find a detailed procedure to find GCD of 831, 395, 675, 351 on our page.
3. How to find GCD of 831, 395, 675, 351 on a calculator?
You can find the GCD of 831, 395, 675, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.