GCD of 733, 998, 422 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 733, 998, 422 i.e. 1 largest integer that divides all the numbers equally.

GCD of 733, 998, 422 is 1

GCD(733, 998, 422) = 1

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

GCD of

GCD of numbers 733, 998, 422 is 1

GCD(733, 998, 422) = 1

GCD of 733,998,422 Calculator

GCDof 733,998,422 is 1

Given Input numbers are 733, 998, 422

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 733, 998, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 998, 422 is 1.

Therefore, GCD of numbers 733, 998, 422 is 1

Finding GCD of 733, 998, 422 using Prime Factorization

Given Input Data is 733, 998, 422

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

Prime Factorization of 733 is 733

Prime Factorization of 998 is 2 x 499

Prime Factorization of 422 is 2 x 211

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

Finding GCD of 733, 998, 422 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(733, 998) = 731534

GCD(733, 998) = ( 733 x 998 ) / 731534

GCD(733, 998) = 731534 / 731534

GCD(733, 998) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 733, 998, 422 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 733, 998, 422

1. What is the GCD of 733, 998, 422?

GCD of 733, 998, 422 is 1


2. Where do I get the detailed procedure to find GCD of 733, 998, 422?

You can find a detailed procedure to find GCD of 733, 998, 422 on our page.


3. How to find GCD of 733, 998, 422 on a calculator?

You can find the GCD of 733, 998, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.