GCD of 729, 385, 33, 306 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, 385, 33, 306 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 385, 33, 306 is 1

GCD(729, 385, 33, 306) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 729, 385, 33, 306 is 1

GCD(729, 385, 33, 306) = 1

GCD of 729,385,33,306 Calculator

GCDof 729,385,33,306 is 1

Given Input numbers are 729, 385, 33, 306

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 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 729, 385, 33, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 385, 33, 306 is 1.

Therefore, GCD of numbers 729, 385, 33, 306 is 1

Finding GCD of 729, 385, 33, 306 using Prime Factorization

Given Input Data is 729, 385, 33, 306

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 385 is 5 x 7 x 11

Prime Factorization of 33 is 3 x 11

Prime Factorization of 306 is 2 x 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 729, 385, 33, 306 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, 385) = 280665

GCD(729, 385) = ( 729 x 385 ) / 280665

GCD(729, 385) = 280665 / 280665

GCD(729, 385) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 729, 385, 33, 306 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 385, 33, 306

1. What is the GCD of 729, 385, 33, 306?

GCD of 729, 385, 33, 306 is 1


2. Where do I get the detailed procedure to find GCD of 729, 385, 33, 306?

You can find a detailed procedure to find GCD of 729, 385, 33, 306 on our page.


3. How to find GCD of 729, 385, 33, 306 on a calculator?

You can find the GCD of 729, 385, 33, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.