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, 330, 86, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 330, 86, 177 is 1
GCD(518, 330, 86, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 330, 86, 177 is 1
GCD(518, 330, 86, 177) = 1
Given Input numbers are 518, 330, 86, 177
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 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 518, 330, 86, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 330, 86, 177 is 1.
Therefore, GCD of numbers 518, 330, 86, 177 is 1
Given Input Data is 518, 330, 86, 177
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 330 is 2 x 3 x 5 x 11
Prime Factorization of 86 is 2 x 43
Prime Factorization of 177 is 3 x 59
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, 330) = 85470
GCD(518, 330) = ( 518 x 330 ) / 85470
GCD(518, 330) = 170940 / 85470
GCD(518, 330) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 177) = 354
GCD(2, 177) = ( 2 x 177 ) / 354
GCD(2, 177) = 354 / 354
GCD(2, 177) = 1
GCD of 518, 330, 86, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 330, 86, 177?
GCD of 518, 330, 86, 177 is 1
2. Where do I get the detailed procedure to find GCD of 518, 330, 86, 177?
You can find a detailed procedure to find GCD of 518, 330, 86, 177 on our page.
3. How to find GCD of 518, 330, 86, 177 on a calculator?
You can find the GCD of 518, 330, 86, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.