GCD of 194, 429, 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 194, 429, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 194, 429, 14 is 1

GCD(194, 429, 14) = 1

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

GCD of

GCD of numbers 194, 429, 14 is 1

GCD(194, 429, 14) = 1

GCD of 194,429,14 Calculator

GCDof 194,429,14 is 1

Given Input numbers are 194, 429, 14

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

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 194, 429, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 429, 14 is 1.

Therefore, GCD of numbers 194, 429, 14 is 1

Finding GCD of 194, 429, 14 using Prime Factorization

Given Input Data is 194, 429, 14

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 429 is 3 x 11 x 13

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 194, 429, 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(194, 429) = 83226

GCD(194, 429) = ( 194 x 429 ) / 83226

GCD(194, 429) = 83226 / 83226

GCD(194, 429) = 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 194, 429, 14 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 194, 429, 14

1. What is the GCD of 194, 429, 14?

GCD of 194, 429, 14 is 1

2. Where do I get the detailed procedure to find GCD of 194, 429, 14?

You can find a detailed procedure to find GCD of 194, 429, 14 on our page.

3. How to find GCD of 194, 429, 14 on a calculator?

You can find the GCD of 194, 429, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.