GCD of 729, 317, 109, 209 Calculator

Given Input numbers are 729, 317, 109, 209

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 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 729, 317, 109, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 317, 109, 209 is 1.

Therefore, GCD of numbers 729, 317, 109, 209 is 1

Given Input Data is 729, 317, 109, 209

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 317 is 317

Prime Factorization of 109 is 109

Prime Factorization of 209 is 11 x 19

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, 317) = 231093

GCD(729, 317) = ( 729 x 317 ) / 231093

GCD(729, 317) = 231093 / 231093

GCD(729, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 729, 317, 109, 209 is 1

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1. What is the GCD of 729, 317, 109, 209?

GCD of 729, 317, 109, 209 is 1

2. Where do I get the detailed procedure to find GCD of 729, 317, 109, 209?

You can find a detailed procedure to find GCD of 729, 317, 109, 209 on our page.

3. How to find GCD of 729, 317, 109, 209 on a calculator?

You can find the GCD of 729, 317, 109, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.