GCD of 363, 311, 258 Calculator

Given Input numbers are 363, 311, 258

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 363, 311, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 311, 258 is 1.

Therefore, GCD of numbers 363, 311, 258 is 1

Given Input Data is 363, 311, 258

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 311 is 311

Prime Factorization of 258 is 2 x 3 x 43

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(363, 311) = 112893

GCD(363, 311) = ( 363 x 311 ) / 112893

GCD(363, 311) = 112893 / 112893

GCD(363, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 363, 311, 258 is 1

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1. What is the GCD of 363, 311, 258?

GCD of 363, 311, 258 is 1

2. Where do I get the detailed procedure to find GCD of 363, 311, 258?

You can find a detailed procedure to find GCD of 363, 311, 258 on our page.

3. How to find GCD of 363, 311, 258 on a calculator?

You can find the GCD of 363, 311, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.