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 729, 780, 924, 585 i.e. 3 largest integer that divides all the numbers equally.
GCD of 729, 780, 924, 585 is 3
GCD(729, 780, 924, 585) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 780, 924, 585 is 3
GCD(729, 780, 924, 585) = 3
Given Input numbers are 729, 780, 924, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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 729, 780, 924, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 780, 924, 585 is 3.
Therefore, GCD of numbers 729, 780, 924, 585 is 3
Given Input Data is 729, 780, 924, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 585 is 3 x 3 x 5 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(729, 780) = 189540
GCD(729, 780) = ( 729 x 780 ) / 189540
GCD(729, 780) = 568620 / 189540
GCD(729, 780) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 924) = 924
GCD(3, 924) = ( 3 x 924 ) / 924
GCD(3, 924) = 2772 / 924
GCD(3, 924) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
GCD(3, 585) = 1755 / 585
GCD(3, 585) = 3
GCD of 729, 780, 924, 585 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 780, 924, 585?
GCD of 729, 780, 924, 585 is 3
2. Where do I get the detailed procedure to find GCD of 729, 780, 924, 585?
You can find a detailed procedure to find GCD of 729, 780, 924, 585 on our page.
3. How to find GCD of 729, 780, 924, 585 on a calculator?
You can find the GCD of 729, 780, 924, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.