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, 853, 69, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 853, 69, 491 is 1
GCD(585, 853, 69, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 853, 69, 491 is 1
GCD(585, 853, 69, 491) = 1
Given Input numbers are 585, 853, 69, 491
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 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 585, 853, 69, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 853, 69, 491 is 1.
Therefore, GCD of numbers 585, 853, 69, 491 is 1
Given Input Data is 585, 853, 69, 491
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 853 is 853
Prime Factorization of 69 is 3 x 23
Prime Factorization of 491 is 491
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, 853) = 499005
GCD(585, 853) = ( 585 x 853 ) / 499005
GCD(585, 853) = 499005 / 499005
GCD(585, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 585, 853, 69, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 853, 69, 491?
GCD of 585, 853, 69, 491 is 1
2. Where do I get the detailed procedure to find GCD of 585, 853, 69, 491?
You can find a detailed procedure to find GCD of 585, 853, 69, 491 on our page.
3. How to find GCD of 585, 853, 69, 491 on a calculator?
You can find the GCD of 585, 853, 69, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.