GCD of 323, 279, 213, 384 Calculator

Given Input numbers are 323, 279, 213, 384

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 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 323, 279, 213, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 279, 213, 384 is 1.

Therefore, GCD of numbers 323, 279, 213, 384 is 1

Given Input Data is 323, 279, 213, 384

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 213 is 3 x 71

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 279) = 90117

GCD(323, 279) = ( 323 x 279 ) / 90117

GCD(323, 279) = 90117 / 90117

GCD(323, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 323, 279, 213, 384 is 1

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1. What is the GCD of 323, 279, 213, 384?

GCD of 323, 279, 213, 384 is 1

2. Where do I get the detailed procedure to find GCD of 323, 279, 213, 384?

You can find a detailed procedure to find GCD of 323, 279, 213, 384 on our page.

3. How to find GCD of 323, 279, 213, 384 on a calculator?

You can find the GCD of 323, 279, 213, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.