GCD of 15, 242, 832, 264 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 15, 242, 832, 264 i.e. 1 largest integer that divides all the numbers equally.

GCD of 15, 242, 832, 264 is 1

GCD(15, 242, 832, 264) = 1

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

GCD of

GCD of numbers 15, 242, 832, 264 is 1

GCD(15, 242, 832, 264) = 1

GCD of 15,242,832,264 Calculator

GCDof 15,242,832,264 is 1

Given Input numbers are 15, 242, 832, 264

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 15, 242, 832, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 242, 832, 264 is 1.

Therefore, GCD of numbers 15, 242, 832, 264 is 1

Finding GCD of 15, 242, 832, 264 using Prime Factorization

Given Input Data is 15, 242, 832, 264

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Finding GCD of 15, 242, 832, 264 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(15, 242) = 3630

GCD(15, 242) = ( 15 x 242 ) / 3630

GCD(15, 242) = 3630 / 3630

GCD(15, 242) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 15, 242, 832, 264 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 15, 242, 832, 264

1. What is the GCD of 15, 242, 832, 264?

GCD of 15, 242, 832, 264 is 1


2. Where do I get the detailed procedure to find GCD of 15, 242, 832, 264?

You can find a detailed procedure to find GCD of 15, 242, 832, 264 on our page.


3. How to find GCD of 15, 242, 832, 264 on a calculator?

You can find the GCD of 15, 242, 832, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.