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 231, 996, 338, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 996, 338, 376 is 1
GCD(231, 996, 338, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 996, 338, 376 is 1
GCD(231, 996, 338, 376) = 1
Given Input numbers are 231, 996, 338, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 231, 996, 338, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 996, 338, 376 is 1.
Therefore, GCD of numbers 231, 996, 338, 376 is 1
Given Input Data is 231, 996, 338, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(231, 996) = 76692
GCD(231, 996) = ( 231 x 996 ) / 76692
GCD(231, 996) = 230076 / 76692
GCD(231, 996) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 338) = 1014
GCD(3, 338) = ( 3 x 338 ) / 1014
GCD(3, 338) = 1014 / 1014
GCD(3, 338) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 231, 996, 338, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 996, 338, 376?
GCD of 231, 996, 338, 376 is 1
2. Where do I get the detailed procedure to find GCD of 231, 996, 338, 376?
You can find a detailed procedure to find GCD of 231, 996, 338, 376 on our page.
3. How to find GCD of 231, 996, 338, 376 on a calculator?
You can find the GCD of 231, 996, 338, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.