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 183, 687, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 183, 687, 580 is 1
GCD(183, 687, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 183, 687, 580 is 1
GCD(183, 687, 580) = 1
Given Input numbers are 183, 687, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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 183, 687, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 687, 580 is 1.
Therefore, GCD of numbers 183, 687, 580 is 1
Given Input Data is 183, 687, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 183 is 3 x 61
Prime Factorization of 687 is 3 x 229
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(183, 687) = 41907
GCD(183, 687) = ( 183 x 687 ) / 41907
GCD(183, 687) = 125721 / 41907
GCD(183, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 580) = 1740
GCD(3, 580) = ( 3 x 580 ) / 1740
GCD(3, 580) = 1740 / 1740
GCD(3, 580) = 1
GCD of 183, 687, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 183, 687, 580?
GCD of 183, 687, 580 is 1
2. Where do I get the detailed procedure to find GCD of 183, 687, 580?
You can find a detailed procedure to find GCD of 183, 687, 580 on our page.
3. How to find GCD of 183, 687, 580 on a calculator?
You can find the GCD of 183, 687, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.