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 459, 686, 20, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 686, 20, 580 is 1
GCD(459, 686, 20, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 686, 20, 580 is 1
GCD(459, 686, 20, 580) = 1
Given Input numbers are 459, 686, 20, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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 459, 686, 20, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 686, 20, 580 is 1.
Therefore, GCD of numbers 459, 686, 20, 580 is 1
Given Input Data is 459, 686, 20, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 20 is 2 x 2 x 5
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(459, 686) = 314874
GCD(459, 686) = ( 459 x 686 ) / 314874
GCD(459, 686) = 314874 / 314874
GCD(459, 686) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 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 459, 686, 20, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 686, 20, 580?
GCD of 459, 686, 20, 580 is 1
2. Where do I get the detailed procedure to find GCD of 459, 686, 20, 580?
You can find a detailed procedure to find GCD of 459, 686, 20, 580 on our page.
3. How to find GCD of 459, 686, 20, 580 on a calculator?
You can find the GCD of 459, 686, 20, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.