GCD of 729, 897, 81, 223 Calculator

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

GCD of numbers 729, 897, 81, 223 is 1

GCD(729, 897, 81, 223) = 1

GCD of 729,897,81,223 Calculator

GCDof 729,897,81,223 is 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

Finding GCD of 729, 897, 81, 223 using Prime Factorization

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

Finding GCD of 729, 897, 81, 223 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 897, 81, 223

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.