GCD of 864, 978, 259, 839 Calculator

Given Input numbers are 864, 978, 259, 839

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 259

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

1, 7, 37, 259

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 864, 978, 259, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 978, 259, 839 is 1.

Therefore, GCD of numbers 864, 978, 259, 839 is 1

Given Input Data is 864, 978, 259, 839

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 978 is 2 x 3 x 163

Prime Factorization of 259 is 7 x 37

Prime Factorization of 839 is 839

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, 978) = 140832

GCD(864, 978) = ( 864 x 978 ) / 140832

GCD(864, 978) = 844992 / 140832

GCD(864, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 259

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

LCM(6, 259) = 1554

GCD(6, 259) = ( 6 x 259 ) / 1554

GCD(6, 259) = 1554 / 1554

GCD(6, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 864, 978, 259, 839 is 1

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1. What is the GCD of 864, 978, 259, 839?

GCD of 864, 978, 259, 839 is 1

2. Where do I get the detailed procedure to find GCD of 864, 978, 259, 839?

You can find a detailed procedure to find GCD of 864, 978, 259, 839 on our page.

3. How to find GCD of 864, 978, 259, 839 on a calculator?

You can find the GCD of 864, 978, 259, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.