GCD of 323, 365, 184, 458 Calculator

Given Input numbers are 323, 365, 184, 458

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 323, 365, 184, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 365, 184, 458 is 1.

Therefore, GCD of numbers 323, 365, 184, 458 is 1

Given Input Data is 323, 365, 184, 458

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 365 is 5 x 73

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 458 is 2 x 229

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(323, 365) = 117895

GCD(323, 365) = ( 323 x 365 ) / 117895

GCD(323, 365) = 117895 / 117895

GCD(323, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 323, 365, 184, 458 is 1

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1. What is the GCD of 323, 365, 184, 458?

GCD of 323, 365, 184, 458 is 1

2. Where do I get the detailed procedure to find GCD of 323, 365, 184, 458?

You can find a detailed procedure to find GCD of 323, 365, 184, 458 on our page.

3. How to find GCD of 323, 365, 184, 458 on a calculator?

You can find the GCD of 323, 365, 184, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.