GCD of 729, 506, 401, 272 Calculator

Given Input numbers are 729, 506, 401, 272

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 729, 506, 401, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 506, 401, 272 is 1.

Therefore, GCD of numbers 729, 506, 401, 272 is 1

Given Input Data is 729, 506, 401, 272

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 506 is 2 x 11 x 23

Prime Factorization of 401 is 401

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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, 506) = 368874

GCD(729, 506) = ( 729 x 506 ) / 368874

GCD(729, 506) = 368874 / 368874

GCD(729, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 729, 506, 401, 272 is 1

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1. What is the GCD of 729, 506, 401, 272?

GCD of 729, 506, 401, 272 is 1

2. Where do I get the detailed procedure to find GCD of 729, 506, 401, 272?

You can find a detailed procedure to find GCD of 729, 506, 401, 272 on our page.

3. How to find GCD of 729, 506, 401, 272 on a calculator?

You can find the GCD of 729, 506, 401, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.