GCD of 326, 260, 365, 824 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 326, 260, 365, 824 i.e. 1 largest integer that divides all the numbers equally.

GCD of 326, 260, 365, 824 is 1

GCD(326, 260, 365, 824) = 1

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

GCD of

GCD of numbers 326, 260, 365, 824 is 1

GCD(326, 260, 365, 824) = 1

GCD of 326,260,365,824 Calculator

GCDof 326,260,365,824 is 1

Given Input numbers are 326, 260, 365, 824

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 326, 260, 365, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 260, 365, 824 is 1.

Therefore, GCD of numbers 326, 260, 365, 824 is 1

Finding GCD of 326, 260, 365, 824 using Prime Factorization

Given Input Data is 326, 260, 365, 824

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

Prime Factorization of 326 is 2 x 163

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Finding GCD of 326, 260, 365, 824 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(326, 260) = 42380

GCD(326, 260) = ( 326 x 260 ) / 42380

GCD(326, 260) = 84760 / 42380

GCD(326, 260) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 326, 260, 365, 824 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 326, 260, 365, 824

1. What is the GCD of 326, 260, 365, 824?

GCD of 326, 260, 365, 824 is 1


2. Where do I get the detailed procedure to find GCD of 326, 260, 365, 824?

You can find a detailed procedure to find GCD of 326, 260, 365, 824 on our page.


3. How to find GCD of 326, 260, 365, 824 on a calculator?

You can find the GCD of 326, 260, 365, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.