GCD of 864, 367, 13, 259 Calculator

Given Input numbers are 864, 367, 13, 259

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 864, 367, 13, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 367, 13, 259 is 1.

Therefore, GCD of numbers 864, 367, 13, 259 is 1

Given Input Data is 864, 367, 13, 259

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 367 is 367

Prime Factorization of 13 is 13

Prime Factorization of 259 is 7 x 37

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(864, 367) = 317088

GCD(864, 367) = ( 864 x 367 ) / 317088

GCD(864, 367) = 317088 / 317088

GCD(864, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 864, 367, 13, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 247, 95, 824
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• GCD of 454, 225, 86, 126
• GCD of 635, 878, 32, 948
• GCD of 551, 757, 60, 414

1. What is the GCD of 864, 367, 13, 259?

GCD of 864, 367, 13, 259 is 1

2. Where do I get the detailed procedure to find GCD of 864, 367, 13, 259?

You can find a detailed procedure to find GCD of 864, 367, 13, 259 on our page.

3. How to find GCD of 864, 367, 13, 259 on a calculator?

You can find the GCD of 864, 367, 13, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.