GCD of 19, 17, 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 19, 17, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 19, 17, 14 is 1

GCD(19, 17, 14) = 1

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

GCD of

GCD of numbers 19, 17, 14 is 1

GCD(19, 17, 14) = 1

GCD of 19,17,14 Calculator

GCDof 19,17,14 is 1

Given Input numbers are 19, 17, 14

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 19, 17, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 17, 14 is 1.

Therefore, GCD of numbers 19, 17, 14 is 1

Finding GCD of 19, 17, 14 using Prime Factorization

Given Input Data is 19, 17, 14

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

Prime Factorization of 19 is 19

Prime Factorization of 17 is 17

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 19, 17, 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(19, 17) = 323

GCD(19, 17) = ( 19 x 17 ) / 323

GCD(19, 17) = 323 / 323

GCD(19, 17) = 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 19, 17, 14 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 19, 17, 14

1. What is the GCD of 19, 17, 14?

GCD of 19, 17, 14 is 1


2. Where do I get the detailed procedure to find GCD of 19, 17, 14?

You can find a detailed procedure to find GCD of 19, 17, 14 on our page.


3. How to find GCD of 19, 17, 14 on a calculator?

You can find the GCD of 19, 17, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.