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 399, 831, 95, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 831, 95, 212 is 1
GCD(399, 831, 95, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 831, 95, 212 is 1
GCD(399, 831, 95, 212) = 1
Given Input numbers are 399, 831, 95, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 399, 831, 95, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 831, 95, 212 is 1.
Therefore, GCD of numbers 399, 831, 95, 212 is 1
Given Input Data is 399, 831, 95, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 831 is 3 x 277
Prime Factorization of 95 is 5 x 19
Prime Factorization of 212 is 2 x 2 x 53
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(399, 831) = 110523
GCD(399, 831) = ( 399 x 831 ) / 110523
GCD(399, 831) = 331569 / 110523
GCD(399, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 95) = 285
GCD(3, 95) = ( 3 x 95 ) / 285
GCD(3, 95) = 285 / 285
GCD(3, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 399, 831, 95, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 831, 95, 212?
GCD of 399, 831, 95, 212 is 1
2. Where do I get the detailed procedure to find GCD of 399, 831, 95, 212?
You can find a detailed procedure to find GCD of 399, 831, 95, 212 on our page.
3. How to find GCD of 399, 831, 95, 212 on a calculator?
You can find the GCD of 399, 831, 95, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.