GCD of 998, 681, 401, 338 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 998, 681, 401, 338 i.e. 1 largest integer that divides all the numbers equally.

GCD of 998, 681, 401, 338 is 1

GCD(998, 681, 401, 338) = 1

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

GCD of

GCD of numbers 998, 681, 401, 338 is 1

GCD(998, 681, 401, 338) = 1

GCD of 998,681,401,338 Calculator

GCDof 998,681,401,338 is 1

Given Input numbers are 998, 681, 401, 338

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 998, 681, 401, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 681, 401, 338 is 1.

Therefore, GCD of numbers 998, 681, 401, 338 is 1

Finding GCD of 998, 681, 401, 338 using Prime Factorization

Given Input Data is 998, 681, 401, 338

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 681 is 3 x 227

Prime Factorization of 401 is 401

Prime Factorization of 338 is 2 x 13 x 13

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

Finding GCD of 998, 681, 401, 338 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(998, 681) = 679638

GCD(998, 681) = ( 998 x 681 ) / 679638

GCD(998, 681) = 679638 / 679638

GCD(998, 681) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 998, 681, 401, 338 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 998, 681, 401, 338

1. What is the GCD of 998, 681, 401, 338?

GCD of 998, 681, 401, 338 is 1


2. Where do I get the detailed procedure to find GCD of 998, 681, 401, 338?

You can find a detailed procedure to find GCD of 998, 681, 401, 338 on our page.


3. How to find GCD of 998, 681, 401, 338 on a calculator?

You can find the GCD of 998, 681, 401, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.