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, 251, 76, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 251, 76, 316 is 1
GCD(518, 251, 76, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 251, 76, 316 is 1
GCD(518, 251, 76, 316) = 1
Given Input numbers are 518, 251, 76, 316
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 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 518, 251, 76, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 251, 76, 316 is 1.
Therefore, GCD of numbers 518, 251, 76, 316 is 1
Given Input Data is 518, 251, 76, 316
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 251 is 251
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 316 is 2 x 2 x 79
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, 251) = 130018
GCD(518, 251) = ( 518 x 251 ) / 130018
GCD(518, 251) = 130018 / 130018
GCD(518, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 518, 251, 76, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 251, 76, 316?
GCD of 518, 251, 76, 316 is 1
2. Where do I get the detailed procedure to find GCD of 518, 251, 76, 316?
You can find a detailed procedure to find GCD of 518, 251, 76, 316 on our page.
3. How to find GCD of 518, 251, 76, 316 on a calculator?
You can find the GCD of 518, 251, 76, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.