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 482, 596, 17, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 482, 596, 17, 113 is 1
GCD(482, 596, 17, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 596, 17, 113 is 1
GCD(482, 596, 17, 113) = 1
Given Input numbers are 482, 596, 17, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 482, 596, 17, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 596, 17, 113 is 1.
Therefore, GCD of numbers 482, 596, 17, 113 is 1
Given Input Data is 482, 596, 17, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 17 is 17
Prime Factorization of 113 is 113
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(482, 596) = 143636
GCD(482, 596) = ( 482 x 596 ) / 143636
GCD(482, 596) = 287272 / 143636
GCD(482, 596) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
GCD(2, 17) = 34 / 34
GCD(2, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 482, 596, 17, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 596, 17, 113?
GCD of 482, 596, 17, 113 is 1
2. Where do I get the detailed procedure to find GCD of 482, 596, 17, 113?
You can find a detailed procedure to find GCD of 482, 596, 17, 113 on our page.
3. How to find GCD of 482, 596, 17, 113 on a calculator?
You can find the GCD of 482, 596, 17, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.