GCD of 322, 484, 616 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 322, 484, 616 i.e. 2 largest integer that divides all the numbers equally.

GCD of 322, 484, 616 is 2

GCD(322, 484, 616) = 2

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

GCD of

GCD of numbers 322, 484, 616 is 2

GCD(322, 484, 616) = 2

GCD of 322,484,616 Calculator

GCDof 322,484,616 is 2

Given Input numbers are 322, 484, 616

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 322, 484, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 484, 616 is 2.

Therefore, GCD of numbers 322, 484, 616 is 2

Finding GCD of 322, 484, 616 using Prime Factorization

Given Input Data is 322, 484, 616

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 322, 484, 616 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(322, 484) = 77924

GCD(322, 484) = ( 322 x 484 ) / 77924

GCD(322, 484) = 155848 / 77924

GCD(322, 484) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 322, 484, 616 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 322, 484, 616

1. What is the GCD of 322, 484, 616?

GCD of 322, 484, 616 is 2


2. Where do I get the detailed procedure to find GCD of 322, 484, 616?

You can find a detailed procedure to find GCD of 322, 484, 616 on our page.


3. How to find GCD of 322, 484, 616 on a calculator?

You can find the GCD of 322, 484, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.