GCD of 993, 310, 305, 216 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, 310, 305, 216 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 310, 305, 216 is 1

GCD(993, 310, 305, 216) = 1

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

GCD of

GCD of numbers 993, 310, 305, 216 is 1

GCD(993, 310, 305, 216) = 1

GCD of 993,310,305,216 Calculator

GCDof 993,310,305,216 is 1

Given Input numbers are 993, 310, 305, 216

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 993, 310, 305, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 310, 305, 216 is 1.

Therefore, GCD of numbers 993, 310, 305, 216 is 1

Finding GCD of 993, 310, 305, 216 using Prime Factorization

Given Input Data is 993, 310, 305, 216

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 305 is 5 x 61

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

Finding GCD of 993, 310, 305, 216 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, 310) = 307830

GCD(993, 310) = ( 993 x 310 ) / 307830

GCD(993, 310) = 307830 / 307830

GCD(993, 310) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 993, 310, 305, 216 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 310, 305, 216

1. What is the GCD of 993, 310, 305, 216?

GCD of 993, 310, 305, 216 is 1


2. Where do I get the detailed procedure to find GCD of 993, 310, 305, 216?

You can find a detailed procedure to find GCD of 993, 310, 305, 216 on our page.


3. How to find GCD of 993, 310, 305, 216 on a calculator?

You can find the GCD of 993, 310, 305, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.