GCD of 993, 372, 60 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, 372, 60 i.e. 3 largest integer that divides all the numbers equally.

GCD of 993, 372, 60 is 3

GCD(993, 372, 60) = 3

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

GCD of

GCD of numbers 993, 372, 60 is 3

GCD(993, 372, 60) = 3

GCD of 993,372,60 Calculator

GCDof 993,372,60 is 3

Given Input numbers are 993, 372, 60

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 993, 372, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 372, 60 is 3.

Therefore, GCD of numbers 993, 372, 60 is 3

Finding GCD of 993, 372, 60 using Prime Factorization

Given Input Data is 993, 372, 60

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 60 is 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 993, 372, 60 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, 372) = 123132

GCD(993, 372) = ( 993 x 372 ) / 123132

GCD(993, 372) = 369396 / 123132

GCD(993, 372) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

GCD of 993, 372, 60 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 372, 60

1. What is the GCD of 993, 372, 60?

GCD of 993, 372, 60 is 3


2. Where do I get the detailed procedure to find GCD of 993, 372, 60?

You can find a detailed procedure to find GCD of 993, 372, 60 on our page.


3. How to find GCD of 993, 372, 60 on a calculator?

You can find the GCD of 993, 372, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.