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, 868 i.e. 4 largest integer that divides all the numbers equally.
GCD of 996, 664, 868 is 4
GCD(996, 664, 868) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 664, 868 is 4
GCD(996, 664, 868) = 4
Given Input numbers are 996, 664, 868
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 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 996, 664, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 664, 868 is 4.
Therefore, GCD of numbers 996, 664, 868 is 4
Given Input Data is 996, 664, 868
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 868 is 2 x 2 x 7 x 31
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(332, 868) = 72044
GCD(332, 868) = ( 332 x 868 ) / 72044
GCD(332, 868) = 288176 / 72044
GCD(332, 868) = 4
GCD of 996, 664, 868 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 664, 868?
GCD of 996, 664, 868 is 4
2. Where do I get the detailed procedure to find GCD of 996, 664, 868?
You can find a detailed procedure to find GCD of 996, 664, 868 on our page.
3. How to find GCD of 996, 664, 868 on a calculator?
You can find the GCD of 996, 664, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.