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 699, 813, 644, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 813, 644, 585 is 1
GCD(699, 813, 644, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 813, 644, 585 is 1
GCD(699, 813, 644, 585) = 1
Given Input numbers are 699, 813, 644, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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
Greatest Common Divisior
We found the divisors of 699, 813, 644, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 813, 644, 585 is 1.
Therefore, GCD of numbers 699, 813, 644, 585 is 1
Given Input Data is 699, 813, 644, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 813 is 3 x 271
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 585 is 3 x 3 x 5 x 13
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(699, 813) = 189429
GCD(699, 813) = ( 699 x 813 ) / 189429
GCD(699, 813) = 568287 / 189429
GCD(699, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 644) = 1932
GCD(3, 644) = ( 3 x 644 ) / 1932
GCD(3, 644) = 1932 / 1932
GCD(3, 644) = 1
Step3:
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
GCD of 699, 813, 644, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 813, 644, 585?
GCD of 699, 813, 644, 585 is 1
2. Where do I get the detailed procedure to find GCD of 699, 813, 644, 585?
You can find a detailed procedure to find GCD of 699, 813, 644, 585 on our page.
3. How to find GCD of 699, 813, 644, 585 on a calculator?
You can find the GCD of 699, 813, 644, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.