GCD of 384, 824, 15, 266 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 384, 824, 15, 266 i.e. 1 largest integer that divides all the numbers equally.

GCD of 384, 824, 15, 266 is 1

GCD(384, 824, 15, 266) = 1

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

GCD of

GCD of numbers 384, 824, 15, 266 is 1

GCD(384, 824, 15, 266) = 1

GCD of 384,824,15,266 Calculator

GCDof 384,824,15,266 is 1

Given Input numbers are 384, 824, 15, 266

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

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

Divisors of 824

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

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 384, 824, 15, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 824, 15, 266 is 1.

Therefore, GCD of numbers 384, 824, 15, 266 is 1

Finding GCD of 384, 824, 15, 266 using Prime Factorization

Given Input Data is 384, 824, 15, 266

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

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

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 266 is 2 x 7 x 19

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

Finding GCD of 384, 824, 15, 266 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(384, 824) = 39552

GCD(384, 824) = ( 384 x 824 ) / 39552

GCD(384, 824) = 316416 / 39552

GCD(384, 824) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 15

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

LCM(8, 15) = 120

GCD(8, 15) = ( 8 x 15 ) / 120

GCD(8, 15) = 120 / 120

GCD(8, 15) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 384, 824, 15, 266 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 384, 824, 15, 266

1. What is the GCD of 384, 824, 15, 266?

GCD of 384, 824, 15, 266 is 1


2. Where do I get the detailed procedure to find GCD of 384, 824, 15, 266?

You can find a detailed procedure to find GCD of 384, 824, 15, 266 on our page.


3. How to find GCD of 384, 824, 15, 266 on a calculator?

You can find the GCD of 384, 824, 15, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.