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, 816, 997, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 816, 997, 580 is 1
GCD(230, 816, 997, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 816, 997, 580 is 1
GCD(230, 816, 997, 580) = 1
Given Input numbers are 230, 816, 997, 580
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 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Greatest Common Divisior
We found the divisors of 230, 816, 997, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 816, 997, 580 is 1.
Therefore, GCD of numbers 230, 816, 997, 580 is 1
Given Input Data is 230, 816, 997, 580
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 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 997 is 997
Prime Factorization of 580 is 2 x 2 x 5 x 29
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, 816) = 93840
GCD(230, 816) = ( 230 x 816 ) / 93840
GCD(230, 816) = 187680 / 93840
GCD(230, 816) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
GCD(2, 997) = 1994 / 1994
GCD(2, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 230, 816, 997, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 816, 997, 580?
GCD of 230, 816, 997, 580 is 1
2. Where do I get the detailed procedure to find GCD of 230, 816, 997, 580?
You can find a detailed procedure to find GCD of 230, 816, 997, 580 on our page.
3. How to find GCD of 230, 816, 997, 580 on a calculator?
You can find the GCD of 230, 816, 997, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.