GCD of 722, 322, 488 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 722, 322, 488 i.e. 2 largest integer that divides all the numbers equally.

GCD of 722, 322, 488 is 2

GCD(722, 322, 488) = 2

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

GCD of

GCD of numbers 722, 322, 488 is 2

GCD(722, 322, 488) = 2

GCD of 722,322,488 Calculator

GCDof 722,322,488 is 2

Given Input numbers are 722, 322, 488

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 722, 322, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 322, 488 is 2.

Therefore, GCD of numbers 722, 322, 488 is 2

Finding GCD of 722, 322, 488 using Prime Factorization

Given Input Data is 722, 322, 488

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 488 is 2 x 2 x 2 x 61

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 722, 322, 488 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(722, 322) = 116242

GCD(722, 322) = ( 722 x 322 ) / 116242

GCD(722, 322) = 232484 / 116242

GCD(722, 322) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 722, 322, 488 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 722, 322, 488

1. What is the GCD of 722, 322, 488?

GCD of 722, 322, 488 is 2


2. Where do I get the detailed procedure to find GCD of 722, 322, 488?

You can find a detailed procedure to find GCD of 722, 322, 488 on our page.


3. How to find GCD of 722, 322, 488 on a calculator?

You can find the GCD of 722, 322, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.