GCD of 15, 462, 239, 871 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, 462, 239, 871 i.e. 1 largest integer that divides all the numbers equally.

GCD of 15, 462, 239, 871 is 1

GCD(15, 462, 239, 871) = 1

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

GCD of

GCD of numbers 15, 462, 239, 871 is 1

GCD(15, 462, 239, 871) = 1

GCD of 15,462,239,871 Calculator

GCDof 15,462,239,871 is 1

Given Input numbers are 15, 462, 239, 871

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 15, 462, 239, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 462, 239, 871 is 1.

Therefore, GCD of numbers 15, 462, 239, 871 is 1

Finding GCD of 15, 462, 239, 871 using Prime Factorization

Given Input Data is 15, 462, 239, 871

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 239 is 239

Prime Factorization of 871 is 13 x 67

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

Finding GCD of 15, 462, 239, 871 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, 462) = 2310

GCD(15, 462) = ( 15 x 462 ) / 2310

GCD(15, 462) = 6930 / 2310

GCD(15, 462) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 239

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

LCM(3, 239) = 717

GCD(3, 239) = ( 3 x 239 ) / 717

GCD(3, 239) = 717 / 717

GCD(3, 239) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 15, 462, 239, 871 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 15, 462, 239, 871

1. What is the GCD of 15, 462, 239, 871?

GCD of 15, 462, 239, 871 is 1


2. Where do I get the detailed procedure to find GCD of 15, 462, 239, 871?

You can find a detailed procedure to find GCD of 15, 462, 239, 871 on our page.


3. How to find GCD of 15, 462, 239, 871 on a calculator?

You can find the GCD of 15, 462, 239, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.