GCD of 96, 33, 39 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 96, 33, 39 i.e. 3 largest integer that divides all the numbers equally.

GCD of 96, 33, 39 is 3

GCD(96, 33, 39) = 3

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

GCD of

GCD of numbers 96, 33, 39 is 3

GCD(96, 33, 39) = 3

GCD of 96,33,39 Calculator

GCDof 96,33,39 is 3

Given Input numbers are 96, 33, 39

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 96, 33, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 33, 39 is 3.

Therefore, GCD of numbers 96, 33, 39 is 3

Finding GCD of 96, 33, 39 using Prime Factorization

Given Input Data is 96, 33, 39

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 33 is 3 x 11

Prime Factorization of 39 is 3 x 13

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 96, 33, 39 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(96, 33) = 1056

GCD(96, 33) = ( 96 x 33 ) / 1056

GCD(96, 33) = 3168 / 1056

GCD(96, 33) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

GCD of 96, 33, 39 is 3

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 96, 33, 39

1. What is the GCD of 96, 33, 39?

GCD of 96, 33, 39 is 3

2. Where do I get the detailed procedure to find GCD of 96, 33, 39?

You can find a detailed procedure to find GCD of 96, 33, 39 on our page.

3. How to find GCD of 96, 33, 39 on a calculator?

You can find the GCD of 96, 33, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.