GCD of 337, 301, 33, 398 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 337, 301, 33, 398 i.e. 1 largest integer that divides all the numbers equally.

GCD of 337, 301, 33, 398 is 1

GCD(337, 301, 33, 398) = 1

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

GCD of

GCD of numbers 337, 301, 33, 398 is 1

GCD(337, 301, 33, 398) = 1

GCD of 337,301,33,398 Calculator

GCDof 337,301,33,398 is 1

Given Input numbers are 337, 301, 33, 398

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 337, 301, 33, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 301, 33, 398 is 1.

Therefore, GCD of numbers 337, 301, 33, 398 is 1

Finding GCD of 337, 301, 33, 398 using Prime Factorization

Given Input Data is 337, 301, 33, 398

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

Prime Factorization of 337 is 337

Prime Factorization of 301 is 7 x 43

Prime Factorization of 33 is 3 x 11

Prime Factorization of 398 is 2 x 199

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

Finding GCD of 337, 301, 33, 398 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(337, 301) = 101437

GCD(337, 301) = ( 337 x 301 ) / 101437

GCD(337, 301) = 101437 / 101437

GCD(337, 301) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 337, 301, 33, 398 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 337, 301, 33, 398

1. What is the GCD of 337, 301, 33, 398?

GCD of 337, 301, 33, 398 is 1


2. Where do I get the detailed procedure to find GCD of 337, 301, 33, 398?

You can find a detailed procedure to find GCD of 337, 301, 33, 398 on our page.


3. How to find GCD of 337, 301, 33, 398 on a calculator?

You can find the GCD of 337, 301, 33, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.