GCD of 810, 704, 368 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 810, 704, 368 i.e. 2 largest integer that divides all the numbers equally.

GCD of 810, 704, 368 is 2

GCD(810, 704, 368) = 2

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

GCD of

GCD of numbers 810, 704, 368 is 2

GCD(810, 704, 368) = 2

GCD of 810,704,368 Calculator

GCDof 810,704,368 is 2

Given Input numbers are 810, 704, 368

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 810, 704, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 704, 368 is 2.

Therefore, GCD of numbers 810, 704, 368 is 2

Finding GCD of 810, 704, 368 using Prime Factorization

Given Input Data is 810, 704, 368

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 810, 704, 368 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(810, 704) = 285120

GCD(810, 704) = ( 810 x 704 ) / 285120

GCD(810, 704) = 570240 / 285120

GCD(810, 704) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 810, 704, 368 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 810, 704, 368

1. What is the GCD of 810, 704, 368?

GCD of 810, 704, 368 is 2


2. Where do I get the detailed procedure to find GCD of 810, 704, 368?

You can find a detailed procedure to find GCD of 810, 704, 368 on our page.


3. How to find GCD of 810, 704, 368 on a calculator?

You can find the GCD of 810, 704, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.