GCD of 342, 467, 289 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 342, 467, 289 i.e. 1 largest integer that divides all the numbers equally.

GCD of 342, 467, 289 is 1

GCD(342, 467, 289) = 1

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

GCD of

GCD of numbers 342, 467, 289 is 1

GCD(342, 467, 289) = 1

GCD of 342,467,289 Calculator

GCDof 342,467,289 is 1

Given Input numbers are 342, 467, 289

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 342, 467, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 467, 289 is 1.

Therefore, GCD of numbers 342, 467, 289 is 1

Finding GCD of 342, 467, 289 using Prime Factorization

Given Input Data is 342, 467, 289

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 467 is 467

Prime Factorization of 289 is 17 x 17

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

Finding GCD of 342, 467, 289 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(342, 467) = 159714

GCD(342, 467) = ( 342 x 467 ) / 159714

GCD(342, 467) = 159714 / 159714

GCD(342, 467) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 342, 467, 289 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 342, 467, 289

1. What is the GCD of 342, 467, 289?

GCD of 342, 467, 289 is 1


2. Where do I get the detailed procedure to find GCD of 342, 467, 289?

You can find a detailed procedure to find GCD of 342, 467, 289 on our page.


3. How to find GCD of 342, 467, 289 on a calculator?

You can find the GCD of 342, 467, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.