GCD of 993, 273, 100 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 993, 273, 100 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 273, 100 is 1

GCD(993, 273, 100) = 1

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

GCD of

GCD of numbers 993, 273, 100 is 1

GCD(993, 273, 100) = 1

GCD of 993,273,100 Calculator

GCDof 993,273,100 is 1

Given Input numbers are 993, 273, 100

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 993, 273, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 273, 100 is 1.

Therefore, GCD of numbers 993, 273, 100 is 1

Finding GCD of 993, 273, 100 using Prime Factorization

Given Input Data is 993, 273, 100

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Finding GCD of 993, 273, 100 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(993, 273) = 90363

GCD(993, 273) = ( 993 x 273 ) / 90363

GCD(993, 273) = 271089 / 90363

GCD(993, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 100

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

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

GCD(3, 100) = 300 / 300

GCD(3, 100) = 1

GCD of 993, 273, 100 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 993, 273, 100

1. What is the GCD of 993, 273, 100?

GCD of 993, 273, 100 is 1

2. Where do I get the detailed procedure to find GCD of 993, 273, 100?

You can find a detailed procedure to find GCD of 993, 273, 100 on our page.

3. How to find GCD of 993, 273, 100 on a calculator?

You can find the GCD of 993, 273, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.