GCD of 299, 328, 19 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 299, 328, 19 i.e. 1 largest integer that divides all the numbers equally.

GCD of 299, 328, 19 is 1

GCD(299, 328, 19) = 1

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

GCD of

GCD of numbers 299, 328, 19 is 1

GCD(299, 328, 19) = 1

GCD of 299,328,19 Calculator

GCDof 299,328,19 is 1

Given Input numbers are 299, 328, 19

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 19

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

1, 19

Greatest Common Divisior

We found the divisors of 299, 328, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 328, 19 is 1.

Therefore, GCD of numbers 299, 328, 19 is 1

Finding GCD of 299, 328, 19 using Prime Factorization

Given Input Data is 299, 328, 19

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 19 is 19

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

Finding GCD of 299, 328, 19 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(299, 328) = 98072

GCD(299, 328) = ( 299 x 328 ) / 98072

GCD(299, 328) = 98072 / 98072

GCD(299, 328) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

GCD of 299, 328, 19 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 299, 328, 19

1. What is the GCD of 299, 328, 19?

GCD of 299, 328, 19 is 1

2. Where do I get the detailed procedure to find GCD of 299, 328, 19?

You can find a detailed procedure to find GCD of 299, 328, 19 on our page.

3. How to find GCD of 299, 328, 19 on a calculator?

You can find the GCD of 299, 328, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.