GCD of 51, 96, 36 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 51, 96, 36 i.e. 3 largest integer that divides all the numbers equally.

GCD of 51, 96, 36 is 3

GCD(51, 96, 36) = 3

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

GCD of

GCD of numbers 51, 96, 36 is 3

GCD(51, 96, 36) = 3

GCD of 51,96,36 Calculator

GCDof 51,96,36 is 3

Given Input numbers are 51, 96, 36

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 51, 96, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 96, 36 is 3.

Therefore, GCD of numbers 51, 96, 36 is 3

Finding GCD of 51, 96, 36 using Prime Factorization

Given Input Data is 51, 96, 36

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

Prime Factorization of 51 is 3 x 17

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 51, 96, 36 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(51, 96) = 1632

GCD(51, 96) = ( 51 x 96 ) / 1632

GCD(51, 96) = 4896 / 1632

GCD(51, 96) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

GCD of 51, 96, 36 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 51, 96, 36

1. What is the GCD of 51, 96, 36?

GCD of 51, 96, 36 is 3


2. Where do I get the detailed procedure to find GCD of 51, 96, 36?

You can find a detailed procedure to find GCD of 51, 96, 36 on our page.


3. How to find GCD of 51, 96, 36 on a calculator?

You can find the GCD of 51, 96, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.