GCD of 617, 438, 349 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 617, 438, 349 i.e. 1 largest integer that divides all the numbers equally.

GCD of 617, 438, 349 is 1

GCD(617, 438, 349) = 1

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

GCD of

GCD of numbers 617, 438, 349 is 1

GCD(617, 438, 349) = 1

GCD of 617,438,349 Calculator

GCDof 617,438,349 is 1

Given Input numbers are 617, 438, 349

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 617, 438, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 438, 349 is 1.

Therefore, GCD of numbers 617, 438, 349 is 1

Finding GCD of 617, 438, 349 using Prime Factorization

Given Input Data is 617, 438, 349

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

Prime Factorization of 617 is 617

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 349 is 349

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

Finding GCD of 617, 438, 349 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(617, 438) = 270246

GCD(617, 438) = ( 617 x 438 ) / 270246

GCD(617, 438) = 270246 / 270246

GCD(617, 438) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 617, 438, 349 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 617, 438, 349

1. What is the GCD of 617, 438, 349?

GCD of 617, 438, 349 is 1


2. Where do I get the detailed procedure to find GCD of 617, 438, 349?

You can find a detailed procedure to find GCD of 617, 438, 349 on our page.


3. How to find GCD of 617, 438, 349 on a calculator?

You can find the GCD of 617, 438, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.