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, 897, 81, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 897, 81, 223 is 1
GCD(729, 897, 81, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 897, 81, 223 is 1
GCD(729, 897, 81, 223) = 1
Given Input numbers are 729, 897, 81, 223
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 729, 897, 81, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 897, 81, 223 is 1.
Therefore, GCD of numbers 729, 897, 81, 223 is 1
Given Input Data is 729, 897, 81, 223
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 897 is 3 x 13 x 23
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 223 is 223
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, 897) = 217971
GCD(729, 897) = ( 729 x 897 ) / 217971
GCD(729, 897) = 653913 / 217971
GCD(729, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 81) = 81
GCD(3, 81) = ( 3 x 81 ) / 81
GCD(3, 81) = 243 / 81
GCD(3, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 223) = 669
GCD(3, 223) = ( 3 x 223 ) / 669
GCD(3, 223) = 669 / 669
GCD(3, 223) = 1
GCD of 729, 897, 81, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 897, 81, 223?
GCD of 729, 897, 81, 223 is 1
2. Where do I get the detailed procedure to find GCD of 729, 897, 81, 223?
You can find a detailed procedure to find GCD of 729, 897, 81, 223 on our page.
3. How to find GCD of 729, 897, 81, 223 on a calculator?
You can find the GCD of 729, 897, 81, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.