GCD of 81, 96, 65 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 81, 96, 65 i.e. 1 largest integer that divides all the numbers equally.

GCD of 81, 96, 65 is 1

GCD(81, 96, 65) = 1

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

GCD of

GCD of numbers 81, 96, 65 is 1

GCD(81, 96, 65) = 1

GCD of 81,96,65 Calculator

GCDof 81,96,65 is 1

Given Input numbers are 81, 96, 65

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 81, 96, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 96, 65 is 1.

Therefore, GCD of numbers 81, 96, 65 is 1

Finding GCD of 81, 96, 65 using Prime Factorization

Given Input Data is 81, 96, 65

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

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

Prime Factorization of 65 is 5 x 13

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

Finding GCD of 81, 96, 65 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(81, 96) = 2592

GCD(81, 96) = ( 81 x 96 ) / 2592

GCD(81, 96) = 7776 / 2592

GCD(81, 96) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

GCD of 81, 96, 65 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 81, 96, 65

1. What is the GCD of 81, 96, 65?

GCD of 81, 96, 65 is 1


2. Where do I get the detailed procedure to find GCD of 81, 96, 65?

You can find a detailed procedure to find GCD of 81, 96, 65 on our page.


3. How to find GCD of 81, 96, 65 on a calculator?

You can find the GCD of 81, 96, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.