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, 555, 38, 186 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 555, 38, 186 is 1
GCD(518, 555, 38, 186) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 555, 38, 186 is 1
GCD(518, 555, 38, 186) = 1
Given Input numbers are 518, 555, 38, 186
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 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 518, 555, 38, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 555, 38, 186 is 1.
Therefore, GCD of numbers 518, 555, 38, 186 is 1
Given Input Data is 518, 555, 38, 186
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 555 is 3 x 5 x 37
Prime Factorization of 38 is 2 x 19
Prime Factorization of 186 is 2 x 3 x 31
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, 555) = 7770
GCD(518, 555) = ( 518 x 555 ) / 7770
GCD(518, 555) = 287490 / 7770
GCD(518, 555) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 38) = 1406
GCD(37, 38) = ( 37 x 38 ) / 1406
GCD(37, 38) = 1406 / 1406
GCD(37, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
GCD of 518, 555, 38, 186 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 555, 38, 186?
GCD of 518, 555, 38, 186 is 1
2. Where do I get the detailed procedure to find GCD of 518, 555, 38, 186?
You can find a detailed procedure to find GCD of 518, 555, 38, 186 on our page.
3. How to find GCD of 518, 555, 38, 186 on a calculator?
You can find the GCD of 518, 555, 38, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.