Where do I get the detailed procedure to find GCD of 993, 108, 564?

You can find a detailed procedure to find GCD of 993, 108, 564 on our page.

How to find GCD of 993, 108, 564 on a calculator?

You can find the GCD of 993, 108, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 993, 108, 564 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 993, 108, 564 quickly. Get the easiest ways to solve the greatest common divisor of 993, 108, 564 i.e 3 in different methods as follows.

How to Find GCD of Numbers 993, 108, 564 with Factoring?

Given Input numbers are 993, 108, 564

In the factoring method, we have to find the divisors of all numbers

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (993, 108, 564) = 3.

Find GCD of 993, 108, 564 using Prime Factorization

Given numbers are 993, 108, 564

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 993, 108, 564 is 3.

Steps to Calculate GCD of 993, 108, 564 using LCM Formula

Given numbers are 993, 108, 564

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(993, 108) = 35748

GCD(993, 108) = ( 993 x 108 ) / 35748

= 993 / 108

= 993

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 993, 108, 564 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 993, 108, 564

Given numbers are 993, 108, 564
The greatest common divisor of numbers 993, 108, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 108, 564 is 3.

FAQs on GCD of 993, 108, 564 Calculator

1. What is the GCD of 993, 108, 564?

GCD of given numbers 993, 108, 564 is 3

2. How to calculate the greatest common divisor of 993, 108, 564?

We can find the highest common divisor of 993, 108, 564 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 993, 108, 564 i.e 3.

3. How can I use the GCD of 993, 108, 564Calculator?

Out the numbers 993, 108, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.