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 427, 711, 585, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 711, 585, 509 is 1
GCD(427, 711, 585, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 711, 585, 509 is 1
GCD(427, 711, 585, 509) = 1
Given Input numbers are 427, 711, 585, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 427, 711, 585, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 711, 585, 509 is 1.
Therefore, GCD of numbers 427, 711, 585, 509 is 1
Given Input Data is 427, 711, 585, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 509 is 509
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(427, 711) = 303597
GCD(427, 711) = ( 427 x 711 ) / 303597
GCD(427, 711) = 303597 / 303597
GCD(427, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 427, 711, 585, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 711, 585, 509?
GCD of 427, 711, 585, 509 is 1
2. Where do I get the detailed procedure to find GCD of 427, 711, 585, 509?
You can find a detailed procedure to find GCD of 427, 711, 585, 509 on our page.
3. How to find GCD of 427, 711, 585, 509 on a calculator?
You can find the GCD of 427, 711, 585, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.