GCD of 864, 284, 92, 322 Calculator

Given Input numbers are 864, 284, 92, 322

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

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 864, 284, 92, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 284, 92, 322 is 2.

Therefore, GCD of numbers 864, 284, 92, 322 is 2

Given Input Data is 864, 284, 92, 322

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

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 322 is 2 x 7 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(864, 284) = 61344

GCD(864, 284) = ( 864 x 284 ) / 61344

GCD(864, 284) = 245376 / 61344

GCD(864, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 92

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

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

GCD(4, 92) = 368 / 92

GCD(4, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 322

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

LCM(4, 322) = 644

GCD(4, 322) = ( 4 x 322 ) / 644

GCD(4, 322) = 1288 / 644

GCD(4, 322) = 2

GCD of 864, 284, 92, 322 is 2

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1. What is the GCD of 864, 284, 92, 322?

GCD of 864, 284, 92, 322 is 2

2. Where do I get the detailed procedure to find GCD of 864, 284, 92, 322?

You can find a detailed procedure to find GCD of 864, 284, 92, 322 on our page.

3. How to find GCD of 864, 284, 92, 322 on a calculator?

You can find the GCD of 864, 284, 92, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.