GCD of 613, 338, 224 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 613, 338, 224 i.e. 1 largest integer that divides all the numbers equally.

GCD of 613, 338, 224 is 1

GCD(613, 338, 224) = 1

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

GCD of

GCD of numbers 613, 338, 224 is 1

GCD(613, 338, 224) = 1

GCD of 613,338,224 Calculator

GCDof 613,338,224 is 1

Given Input numbers are 613, 338, 224

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

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 613, 338, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 338, 224 is 1.

Therefore, GCD of numbers 613, 338, 224 is 1

Finding GCD of 613, 338, 224 using Prime Factorization

Given Input Data is 613, 338, 224

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

Prime Factorization of 613 is 613

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

Finding GCD of 613, 338, 224 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(613, 338) = 207194

GCD(613, 338) = ( 613 x 338 ) / 207194

GCD(613, 338) = 207194 / 207194

GCD(613, 338) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 613, 338, 224 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 613, 338, 224

1. What is the GCD of 613, 338, 224?

GCD of 613, 338, 224 is 1


2. Where do I get the detailed procedure to find GCD of 613, 338, 224?

You can find a detailed procedure to find GCD of 613, 338, 224 on our page.


3. How to find GCD of 613, 338, 224 on a calculator?

You can find the GCD of 613, 338, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.