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 108, 489, 26, 519 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 489, 26, 519 is 1
GCD(108, 489, 26, 519) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 489, 26, 519 is 1
GCD(108, 489, 26, 519) = 1
Given Input numbers are 108, 489, 26, 519
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Greatest Common Divisior
We found the divisors of 108, 489, 26, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 489, 26, 519 is 1.
Therefore, GCD of numbers 108, 489, 26, 519 is 1
Given Input Data is 108, 489, 26, 519
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 489 is 3 x 163
Prime Factorization of 26 is 2 x 13
Prime Factorization of 519 is 3 x 173
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(108, 489) = 17604
GCD(108, 489) = ( 108 x 489 ) / 17604
GCD(108, 489) = 52812 / 17604
GCD(108, 489) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 26) = 78
GCD(3, 26) = ( 3 x 26 ) / 78
GCD(3, 26) = 78 / 78
GCD(3, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 519) = 519
GCD(1, 519) = ( 1 x 519 ) / 519
GCD(1, 519) = 519 / 519
GCD(1, 519) = 1
GCD of 108, 489, 26, 519 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 489, 26, 519?
GCD of 108, 489, 26, 519 is 1
2. Where do I get the detailed procedure to find GCD of 108, 489, 26, 519?
You can find a detailed procedure to find GCD of 108, 489, 26, 519 on our page.
3. How to find GCD of 108, 489, 26, 519 on a calculator?
You can find the GCD of 108, 489, 26, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.