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 230, 584, 13, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 584, 13, 985 is 1
GCD(230, 584, 13, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 584, 13, 985 is 1
GCD(230, 584, 13, 985) = 1
Given Input numbers are 230, 584, 13, 985
To find the GCD of numbers using factoring list out all the divisors of each number
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 230, 584, 13, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 584, 13, 985 is 1.
Therefore, GCD of numbers 230, 584, 13, 985 is 1
Given Input Data is 230, 584, 13, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 13 is 13
Prime Factorization of 985 is 5 x 197
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(230, 584) = 67160
GCD(230, 584) = ( 230 x 584 ) / 67160
GCD(230, 584) = 134320 / 67160
GCD(230, 584) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 230, 584, 13, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 584, 13, 985?
GCD of 230, 584, 13, 985 is 1
2. Where do I get the detailed procedure to find GCD of 230, 584, 13, 985?
You can find a detailed procedure to find GCD of 230, 584, 13, 985 on our page.
3. How to find GCD of 230, 584, 13, 985 on a calculator?
You can find the GCD of 230, 584, 13, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.