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 516, 638, 628, 326 i.e. 2 largest integer that divides all the numbers equally.
GCD of 516, 638, 628, 326 is 2
GCD(516, 638, 628, 326) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 638, 628, 326 is 2
GCD(516, 638, 628, 326) = 2
Given Input numbers are 516, 638, 628, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 516, 638, 628, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 638, 628, 326 is 2.
Therefore, GCD of numbers 516, 638, 628, 326 is 2
Given Input Data is 516, 638, 628, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 326 is 2 x 163
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(516, 638) = 164604
GCD(516, 638) = ( 516 x 638 ) / 164604
GCD(516, 638) = 329208 / 164604
GCD(516, 638) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
GCD(2, 628) = 1256 / 628
GCD(2, 628) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 326) = 326
GCD(2, 326) = ( 2 x 326 ) / 326
GCD(2, 326) = 652 / 326
GCD(2, 326) = 2
GCD of 516, 638, 628, 326 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 638, 628, 326?
GCD of 516, 638, 628, 326 is 2
2. Where do I get the detailed procedure to find GCD of 516, 638, 628, 326?
You can find a detailed procedure to find GCD of 516, 638, 628, 326 on our page.
3. How to find GCD of 516, 638, 628, 326 on a calculator?
You can find the GCD of 516, 638, 628, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.