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, 344, 20, 794 i.e. 2 largest integer that divides all the numbers equally.
GCD of 516, 344, 20, 794 is 2
GCD(516, 344, 20, 794) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 344, 20, 794 is 2
GCD(516, 344, 20, 794) = 2
Given Input numbers are 516, 344, 20, 794
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 516, 344, 20, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 344, 20, 794 is 2.
Therefore, GCD of numbers 516, 344, 20, 794 is 2
Given Input Data is 516, 344, 20, 794
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 794 is 2 x 397
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, 344) = 1032
GCD(516, 344) = ( 516 x 344 ) / 1032
GCD(516, 344) = 177504 / 1032
GCD(516, 344) = 172
Step2:
Here we consider the GCD from the above i.e. 172 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(172, 20) = 860
GCD(172, 20) = ( 172 x 20 ) / 860
GCD(172, 20) = 3440 / 860
GCD(172, 20) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 794) = 1588
GCD(4, 794) = ( 4 x 794 ) / 1588
GCD(4, 794) = 3176 / 1588
GCD(4, 794) = 2
GCD of 516, 344, 20, 794 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 344, 20, 794?
GCD of 516, 344, 20, 794 is 2
2. Where do I get the detailed procedure to find GCD of 516, 344, 20, 794?
You can find a detailed procedure to find GCD of 516, 344, 20, 794 on our page.
3. How to find GCD of 516, 344, 20, 794 on a calculator?
You can find the GCD of 516, 344, 20, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.