GCD of 260, 845, 42, 864 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 260, 845, 42, 864 i.e. 1 largest integer that divides all the numbers equally.

GCD of 260, 845, 42, 864 is 1

GCD(260, 845, 42, 864) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 260, 845, 42, 864 is 1

GCD(260, 845, 42, 864) = 1

GCD of 260,845,42,864 Calculator

GCDof 260,845,42,864 is 1

Given Input numbers are 260, 845, 42, 864

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 260, 845, 42, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 845, 42, 864 is 1.

Therefore, GCD of numbers 260, 845, 42, 864 is 1

Finding GCD of 260, 845, 42, 864 using Prime Factorization

Given Input Data is 260, 845, 42, 864

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 42 is 2 x 3 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 260, 845, 42, 864 using LCM Formula

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(260, 845) = 3380

GCD(260, 845) = ( 260 x 845 ) / 3380

GCD(260, 845) = 219700 / 3380

GCD(260, 845) = 65


Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 42

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

LCM(65, 42) = 2730

GCD(65, 42) = ( 65 x 42 ) / 2730

GCD(65, 42) = 2730 / 2730

GCD(65, 42) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 260, 845, 42, 864 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 260, 845, 42, 864

1. What is the GCD of 260, 845, 42, 864?

GCD of 260, 845, 42, 864 is 1


2. Where do I get the detailed procedure to find GCD of 260, 845, 42, 864?

You can find a detailed procedure to find GCD of 260, 845, 42, 864 on our page.


3. How to find GCD of 260, 845, 42, 864 on a calculator?

You can find the GCD of 260, 845, 42, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.