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, 344, 355, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 344, 355, 377 is 1
GCD(518, 344, 355, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 344, 355, 377 is 1
GCD(518, 344, 355, 377) = 1
Given Input numbers are 518, 344, 355, 377
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 518, 344, 355, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 344, 355, 377 is 1.
Therefore, GCD of numbers 518, 344, 355, 377 is 1
Given Input Data is 518, 344, 355, 377
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 355 is 5 x 71
Prime Factorization of 377 is 13 x 29
The above numbers do not have any common prime factor. So GCD is 1
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, 344) = 89096
GCD(518, 344) = ( 518 x 344 ) / 89096
GCD(518, 344) = 178192 / 89096
GCD(518, 344) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
GCD(2, 355) = 710 / 710
GCD(2, 355) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
GCD(1, 377) = 377 / 377
GCD(1, 377) = 1
GCD of 518, 344, 355, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 344, 355, 377?
GCD of 518, 344, 355, 377 is 1
2. Where do I get the detailed procedure to find GCD of 518, 344, 355, 377?
You can find a detailed procedure to find GCD of 518, 344, 355, 377 on our page.
3. How to find GCD of 518, 344, 355, 377 on a calculator?
You can find the GCD of 518, 344, 355, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.