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 996, 664, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 664, 331 is 1
GCD(996, 664, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 664, 331 is 1
GCD(996, 664, 331) = 1
Given Input numbers are 996, 664, 331
To find the GCD of numbers using factoring list out all the divisors of each number
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 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 996, 664, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 664, 331 is 1.
Therefore, GCD of numbers 996, 664, 331 is 1
Given Input Data is 996, 664, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 331 is 331
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(996, 664) = 1992
GCD(996, 664) = ( 996 x 664 ) / 1992
GCD(996, 664) = 661344 / 1992
GCD(996, 664) = 332
Step2:
Here we consider the GCD from the above i.e. 332 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(332, 331) = 109892
GCD(332, 331) = ( 332 x 331 ) / 109892
GCD(332, 331) = 109892 / 109892
GCD(332, 331) = 1
GCD of 996, 664, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 664, 331?
GCD of 996, 664, 331 is 1
2. Where do I get the detailed procedure to find GCD of 996, 664, 331?
You can find a detailed procedure to find GCD of 996, 664, 331 on our page.
3. How to find GCD of 996, 664, 331 on a calculator?
You can find the GCD of 996, 664, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.