GCD of 322, 864, 984, 323 Calculator

Given Input numbers are 322, 864, 984, 323

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 323

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

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 322, 864, 984, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 864, 984, 323 is 1.

Therefore, GCD of numbers 322, 864, 984, 323 is 1

Given Input Data is 322, 864, 984, 323

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 323 is 17 x 19

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(322, 864) = 139104

GCD(322, 864) = ( 322 x 864 ) / 139104

GCD(322, 864) = 278208 / 139104

GCD(322, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 322, 864, 984, 323 is 1

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1. What is the GCD of 322, 864, 984, 323?

GCD of 322, 864, 984, 323 is 1

2. Where do I get the detailed procedure to find GCD of 322, 864, 984, 323?

You can find a detailed procedure to find GCD of 322, 864, 984, 323 on our page.

3. How to find GCD of 322, 864, 984, 323 on a calculator?

You can find the GCD of 322, 864, 984, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.