GCD of 829, 963, 15, 384 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 829, 963, 15, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 829, 963, 15, 384 is 1

GCD(829, 963, 15, 384) = 1

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

GCD of

GCD of numbers 829, 963, 15, 384 is 1

GCD(829, 963, 15, 384) = 1

GCD of 829,963,15,384 Calculator

GCDof 829,963,15,384 is 1

Given Input numbers are 829, 963, 15, 384

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 829, 963, 15, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 963, 15, 384 is 1.

Therefore, GCD of numbers 829, 963, 15, 384 is 1

Finding GCD of 829, 963, 15, 384 using Prime Factorization

Given Input Data is 829, 963, 15, 384

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

Prime Factorization of 829 is 829

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 15 is 3 x 5

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 829, 963, 15, 384 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(829, 963) = 798327

GCD(829, 963) = ( 829 x 963 ) / 798327

GCD(829, 963) = 798327 / 798327

GCD(829, 963) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 829, 963, 15, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 829, 963, 15, 384

1. What is the GCD of 829, 963, 15, 384?

GCD of 829, 963, 15, 384 is 1


2. Where do I get the detailed procedure to find GCD of 829, 963, 15, 384?

You can find a detailed procedure to find GCD of 829, 963, 15, 384 on our page.


3. How to find GCD of 829, 963, 15, 384 on a calculator?

You can find the GCD of 829, 963, 15, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.