GCD of 351, 729, 104, 273 Calculator

Given Input numbers are 351, 729, 104, 273

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 351, 729, 104, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 729, 104, 273 is 1.

Therefore, GCD of numbers 351, 729, 104, 273 is 1

Given Input Data is 351, 729, 104, 273

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 273 is 3 x 7 x 13

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(351, 729) = 9477

GCD(351, 729) = ( 351 x 729 ) / 9477

GCD(351, 729) = 255879 / 9477

GCD(351, 729) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 104

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

LCM(27, 104) = 2808

GCD(27, 104) = ( 27 x 104 ) / 2808

GCD(27, 104) = 2808 / 2808

GCD(27, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 351, 729, 104, 273 is 1

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1. What is the GCD of 351, 729, 104, 273?

GCD of 351, 729, 104, 273 is 1

2. Where do I get the detailed procedure to find GCD of 351, 729, 104, 273?

You can find a detailed procedure to find GCD of 351, 729, 104, 273 on our page.

3. How to find GCD of 351, 729, 104, 273 on a calculator?

You can find the GCD of 351, 729, 104, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.