GCD of 813, 165, 51 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 813, 165, 51 i.e. 3 largest integer that divides all the numbers equally.

GCD of 813, 165, 51 is 3

GCD(813, 165, 51) = 3

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

GCD of

GCD of numbers 813, 165, 51 is 3

GCD(813, 165, 51) = 3

GCD of 813,165,51 Calculator

GCDof 813,165,51 is 3

Given Input numbers are 813, 165, 51

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 51

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

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 813, 165, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 165, 51 is 3.

Therefore, GCD of numbers 813, 165, 51 is 3

Finding GCD of 813, 165, 51 using Prime Factorization

Given Input Data is 813, 165, 51

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 51 is 3 x 17

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 813, 165, 51 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(813, 165) = 44715

GCD(813, 165) = ( 813 x 165 ) / 44715

GCD(813, 165) = 134145 / 44715

GCD(813, 165) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

GCD of 813, 165, 51 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 813, 165, 51

1. What is the GCD of 813, 165, 51?

GCD of 813, 165, 51 is 3


2. Where do I get the detailed procedure to find GCD of 813, 165, 51?

You can find a detailed procedure to find GCD of 813, 165, 51 on our page.


3. How to find GCD of 813, 165, 51 on a calculator?

You can find the GCD of 813, 165, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.