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 585, 501, 260, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 501, 260, 229 is 1
GCD(585, 501, 260, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 501, 260, 229 is 1
GCD(585, 501, 260, 229) = 1
Given Input numbers are 585, 501, 260, 229
To find the GCD of numbers using factoring list out all the divisors of each number
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 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 585, 501, 260, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 501, 260, 229 is 1.
Therefore, GCD of numbers 585, 501, 260, 229 is 1
Given Input Data is 585, 501, 260, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 501 is 3 x 167
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 229 is 229
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(585, 501) = 97695
GCD(585, 501) = ( 585 x 501 ) / 97695
GCD(585, 501) = 293085 / 97695
GCD(585, 501) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 260) = 780
GCD(3, 260) = ( 3 x 260 ) / 780
GCD(3, 260) = 780 / 780
GCD(3, 260) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 585, 501, 260, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 501, 260, 229?
GCD of 585, 501, 260, 229 is 1
2. Where do I get the detailed procedure to find GCD of 585, 501, 260, 229?
You can find a detailed procedure to find GCD of 585, 501, 260, 229 on our page.
3. How to find GCD of 585, 501, 260, 229 on a calculator?
You can find the GCD of 585, 501, 260, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.