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 638, 596, 816 i.e. 2 largest integer that divides all the numbers equally.
GCD of 638, 596, 816 is 2
GCD(638, 596, 816) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 638, 596, 816 is 2
GCD(638, 596, 816) = 2
Given Input numbers are 638, 596, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Greatest Common Divisior
We found the divisors of 638, 596, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 596, 816 is 2.
Therefore, GCD of numbers 638, 596, 816 is 2
Given Input Data is 638, 596, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(638, 596) = 190124
GCD(638, 596) = ( 638 x 596 ) / 190124
GCD(638, 596) = 380248 / 190124
GCD(638, 596) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
GCD(2, 816) = 1632 / 816
GCD(2, 816) = 2
GCD of 638, 596, 816 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 638, 596, 816?
GCD of 638, 596, 816 is 2
2. Where do I get the detailed procedure to find GCD of 638, 596, 816?
You can find a detailed procedure to find GCD of 638, 596, 816 on our page.
3. How to find GCD of 638, 596, 816 on a calculator?
You can find the GCD of 638, 596, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.