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 518, 394, 80 i.e. 2 largest integer that divides all the numbers equally.
GCD of 518, 394, 80 is 2
GCD(518, 394, 80) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 394, 80 is 2
GCD(518, 394, 80) = 2
Given Input numbers are 518, 394, 80
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Greatest Common Divisior
We found the divisors of 518, 394, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 394, 80 is 2.
Therefore, GCD of numbers 518, 394, 80 is 2
Given Input Data is 518, 394, 80
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 394 is 2 x 197
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
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(518, 394) = 102046
GCD(518, 394) = ( 518 x 394 ) / 102046
GCD(518, 394) = 204092 / 102046
GCD(518, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 80) = 80
GCD(2, 80) = ( 2 x 80 ) / 80
GCD(2, 80) = 160 / 80
GCD(2, 80) = 2
GCD of 518, 394, 80 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 394, 80?
GCD of 518, 394, 80 is 2
2. Where do I get the detailed procedure to find GCD of 518, 394, 80?
You can find a detailed procedure to find GCD of 518, 394, 80 on our page.
3. How to find GCD of 518, 394, 80 on a calculator?
You can find the GCD of 518, 394, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.