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, 115, 480, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 115, 480, 113 is 1
GCD(729, 115, 480, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 115, 480, 113 is 1
GCD(729, 115, 480, 113) = 1
Given Input numbers are 729, 115, 480, 113
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 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 729, 115, 480, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 115, 480, 113 is 1.
Therefore, GCD of numbers 729, 115, 480, 113 is 1
Given Input Data is 729, 115, 480, 113
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 115 is 5 x 23
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 113 is 113
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(729, 115) = 83835
GCD(729, 115) = ( 729 x 115 ) / 83835
GCD(729, 115) = 83835 / 83835
GCD(729, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 729, 115, 480, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 115, 480, 113?
GCD of 729, 115, 480, 113 is 1
2. Where do I get the detailed procedure to find GCD of 729, 115, 480, 113?
You can find a detailed procedure to find GCD of 729, 115, 480, 113 on our page.
3. How to find GCD of 729, 115, 480, 113 on a calculator?
You can find the GCD of 729, 115, 480, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.