GCD of 258, 729, 41 Calculator

Given Input numbers are 258, 729, 41

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 258, 729, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 729, 41 is 1.

Therefore, GCD of numbers 258, 729, 41 is 1

Given Input Data is 258, 729, 41

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

Prime Factorization of 258 is 2 x 3 x 43

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

Prime Factorization of 41 is 41

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(258, 729) = 62694

GCD(258, 729) = ( 258 x 729 ) / 62694

GCD(258, 729) = 188082 / 62694

GCD(258, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

GCD of 258, 729, 41 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 258, 729, 41?

GCD of 258, 729, 41 is 1

2. Where do I get the detailed procedure to find GCD of 258, 729, 41?

You can find a detailed procedure to find GCD of 258, 729, 41 on our page.

3. How to find GCD of 258, 729, 41 on a calculator?

You can find the GCD of 258, 729, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.