GCD of 815, 889, 14 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 815, 889, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 815, 889, 14 is 1

GCD(815, 889, 14) = 1

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

GCD of

GCD of numbers 815, 889, 14 is 1

GCD(815, 889, 14) = 1

GCD of 815,889,14 Calculator

GCDof 815,889,14 is 1

Given Input numbers are 815, 889, 14

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 815, 889, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 889, 14 is 1.

Therefore, GCD of numbers 815, 889, 14 is 1

Finding GCD of 815, 889, 14 using Prime Factorization

Given Input Data is 815, 889, 14

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

Prime Factorization of 815 is 5 x 163

Prime Factorization of 889 is 7 x 127

Prime Factorization of 14 is 2 x 7

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

Finding GCD of 815, 889, 14 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(815, 889) = 724535

GCD(815, 889) = ( 815 x 889 ) / 724535

GCD(815, 889) = 724535 / 724535

GCD(815, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 815, 889, 14 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 815, 889, 14

1. What is the GCD of 815, 889, 14?

GCD of 815, 889, 14 is 1

2. Where do I get the detailed procedure to find GCD of 815, 889, 14?

You can find a detailed procedure to find GCD of 815, 889, 14 on our page.

3. How to find GCD of 815, 889, 14 on a calculator?

You can find the GCD of 815, 889, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.