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 481, 728, 395, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 481, 728, 395, 108 is 1
GCD(481, 728, 395, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 481, 728, 395, 108 is 1
GCD(481, 728, 395, 108) = 1
Given Input numbers are 481, 728, 395, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
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
Greatest Common Divisior
We found the divisors of 481, 728, 395, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 481, 728, 395, 108 is 1.
Therefore, GCD of numbers 481, 728, 395, 108 is 1
Given Input Data is 481, 728, 395, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 481 is 13 x 37
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 395 is 5 x 79
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(481, 728) = 26936
GCD(481, 728) = ( 481 x 728 ) / 26936
GCD(481, 728) = 350168 / 26936
GCD(481, 728) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 395) = 5135
GCD(13, 395) = ( 13 x 395 ) / 5135
GCD(13, 395) = 5135 / 5135
GCD(13, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 481, 728, 395, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 481, 728, 395, 108?
GCD of 481, 728, 395, 108 is 1
2. Where do I get the detailed procedure to find GCD of 481, 728, 395, 108?
You can find a detailed procedure to find GCD of 481, 728, 395, 108 on our page.
3. How to find GCD of 481, 728, 395, 108 on a calculator?
You can find the GCD of 481, 728, 395, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.