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 13, 230, 988, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 230, 988, 983 is 1
GCD(13, 230, 988, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 230, 988, 983 is 1
GCD(13, 230, 988, 983) = 1
Given Input numbers are 13, 230, 988, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 13, 230, 988, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 230, 988, 983 is 1.
Therefore, GCD of numbers 13, 230, 988, 983 is 1
Given Input Data is 13, 230, 988, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 983 is 983
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(13, 230) = 2990
GCD(13, 230) = ( 13 x 230 ) / 2990
GCD(13, 230) = 2990 / 2990
GCD(13, 230) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 13, 230, 988, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 230, 988, 983?
GCD of 13, 230, 988, 983 is 1
2. Where do I get the detailed procedure to find GCD of 13, 230, 988, 983?
You can find a detailed procedure to find GCD of 13, 230, 988, 983 on our page.
3. How to find GCD of 13, 230, 988, 983 on a calculator?
You can find the GCD of 13, 230, 988, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.