GCD of 864, 259, 435, 329 Calculator

Given Input numbers are 864, 259, 435, 329

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 259

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

1, 7, 37, 259

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 864, 259, 435, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 259, 435, 329 is 1.

Therefore, GCD of numbers 864, 259, 435, 329 is 1

Given Input Data is 864, 259, 435, 329

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 259 is 7 x 37

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 329 is 7 x 47

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, 259) = 223776

GCD(864, 259) = ( 864 x 259 ) / 223776

GCD(864, 259) = 223776 / 223776

GCD(864, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 864, 259, 435, 329 is 1

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1. What is the GCD of 864, 259, 435, 329?

GCD of 864, 259, 435, 329 is 1

2. Where do I get the detailed procedure to find GCD of 864, 259, 435, 329?

You can find a detailed procedure to find GCD of 864, 259, 435, 329 on our page.

3. How to find GCD of 864, 259, 435, 329 on a calculator?

You can find the GCD of 864, 259, 435, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.