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, 241, 28, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 241, 28, 344 is 1
GCD(729, 241, 28, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 241, 28, 344 is 1
GCD(729, 241, 28, 344) = 1
Given Input numbers are 729, 241, 28, 344
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 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 729, 241, 28, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 241, 28, 344 is 1.
Therefore, GCD of numbers 729, 241, 28, 344 is 1
Given Input Data is 729, 241, 28, 344
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 241 is 241
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 344 is 2 x 2 x 2 x 43
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, 241) = 175689
GCD(729, 241) = ( 729 x 241 ) / 175689
GCD(729, 241) = 175689 / 175689
GCD(729, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 729, 241, 28, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 241, 28, 344?
GCD of 729, 241, 28, 344 is 1
2. Where do I get the detailed procedure to find GCD of 729, 241, 28, 344?
You can find a detailed procedure to find GCD of 729, 241, 28, 344 on our page.
3. How to find GCD of 729, 241, 28, 344 on a calculator?
You can find the GCD of 729, 241, 28, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.