GCD of 864, 318, 50, 844 Calculator

Given Input numbers are 864, 318, 50, 844

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 864, 318, 50, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 318, 50, 844 is 2.

Therefore, GCD of numbers 864, 318, 50, 844 is 2

Given Input Data is 864, 318, 50, 844

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 318 is 2 x 3 x 53

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 844 is 2 x 2 x 211

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, 318) = 45792

GCD(864, 318) = ( 864 x 318 ) / 45792

GCD(864, 318) = 274752 / 45792

GCD(864, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 50

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

LCM(6, 50) = 150

GCD(6, 50) = ( 6 x 50 ) / 150

GCD(6, 50) = 300 / 150

GCD(6, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

GCD of 864, 318, 50, 844 is 2

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1. What is the GCD of 864, 318, 50, 844?

GCD of 864, 318, 50, 844 is 2

2. Where do I get the detailed procedure to find GCD of 864, 318, 50, 844?

You can find a detailed procedure to find GCD of 864, 318, 50, 844 on our page.

3. How to find GCD of 864, 318, 50, 844 on a calculator?

You can find the GCD of 864, 318, 50, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.