GCD of 837, 388, 221, 998 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 837, 388, 221, 998 i.e. 1 largest integer that divides all the numbers equally.

GCD of 837, 388, 221, 998 is 1

GCD(837, 388, 221, 998) = 1

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

GCD of

GCD of numbers 837, 388, 221, 998 is 1

GCD(837, 388, 221, 998) = 1

GCD of 837,388,221,998 Calculator

GCDof 837,388,221,998 is 1

Given Input numbers are 837, 388, 221, 998

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

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 837, 388, 221, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 388, 221, 998 is 1.

Therefore, GCD of numbers 837, 388, 221, 998 is 1

Finding GCD of 837, 388, 221, 998 using Prime Factorization

Given Input Data is 837, 388, 221, 998

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

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 221 is 13 x 17

Prime Factorization of 998 is 2 x 499

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

Finding GCD of 837, 388, 221, 998 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(837, 388) = 324756

GCD(837, 388) = ( 837 x 388 ) / 324756

GCD(837, 388) = 324756 / 324756

GCD(837, 388) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 837, 388, 221, 998 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 837, 388, 221, 998

1. What is the GCD of 837, 388, 221, 998?

GCD of 837, 388, 221, 998 is 1


2. Where do I get the detailed procedure to find GCD of 837, 388, 221, 998?

You can find a detailed procedure to find GCD of 837, 388, 221, 998 on our page.


3. How to find GCD of 837, 388, 221, 998 on a calculator?

You can find the GCD of 837, 388, 221, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.