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, 289, 35, 482 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 289, 35, 482 is 1
GCD(729, 289, 35, 482) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 289, 35, 482 is 1
GCD(729, 289, 35, 482) = 1
Given Input numbers are 729, 289, 35, 482
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 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Greatest Common Divisior
We found the divisors of 729, 289, 35, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 289, 35, 482 is 1.
Therefore, GCD of numbers 729, 289, 35, 482 is 1
Given Input Data is 729, 289, 35, 482
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 289 is 17 x 17
Prime Factorization of 35 is 5 x 7
Prime Factorization of 482 is 2 x 241
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, 289) = 210681
GCD(729, 289) = ( 729 x 289 ) / 210681
GCD(729, 289) = 210681 / 210681
GCD(729, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 482) = 482
GCD(1, 482) = ( 1 x 482 ) / 482
GCD(1, 482) = 482 / 482
GCD(1, 482) = 1
GCD of 729, 289, 35, 482 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 289, 35, 482?
GCD of 729, 289, 35, 482 is 1
2. Where do I get the detailed procedure to find GCD of 729, 289, 35, 482?
You can find a detailed procedure to find GCD of 729, 289, 35, 482 on our page.
3. How to find GCD of 729, 289, 35, 482 on a calculator?
You can find the GCD of 729, 289, 35, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.