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, 463, 733, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 463, 733, 824 is 1
GCD(585, 463, 733, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 463, 733, 824 is 1
GCD(585, 463, 733, 824) = 1
Given Input numbers are 585, 463, 733, 824
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 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 585, 463, 733, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 463, 733, 824 is 1.
Therefore, GCD of numbers 585, 463, 733, 824 is 1
Given Input Data is 585, 463, 733, 824
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 463 is 463
Prime Factorization of 733 is 733
Prime Factorization of 824 is 2 x 2 x 2 x 103
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, 463) = 270855
GCD(585, 463) = ( 585 x 463 ) / 270855
GCD(585, 463) = 270855 / 270855
GCD(585, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 585, 463, 733, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 463, 733, 824?
GCD of 585, 463, 733, 824 is 1
2. Where do I get the detailed procedure to find GCD of 585, 463, 733, 824?
You can find a detailed procedure to find GCD of 585, 463, 733, 824 on our page.
3. How to find GCD of 585, 463, 733, 824 on a calculator?
You can find the GCD of 585, 463, 733, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.