GCD of 660, 802, 394, 328 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 660, 802, 394, 328 i.e. 2 largest integer that divides all the numbers equally.

GCD of 660, 802, 394, 328 is 2

GCD(660, 802, 394, 328) = 2

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

GCD of

GCD of numbers 660, 802, 394, 328 is 2

GCD(660, 802, 394, 328) = 2

GCD of 660,802,394,328 Calculator

GCDof 660,802,394,328 is 2

Given Input numbers are 660, 802, 394, 328

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 660, 802, 394, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 802, 394, 328 is 2.

Therefore, GCD of numbers 660, 802, 394, 328 is 2

Finding GCD of 660, 802, 394, 328 using Prime Factorization

Given Input Data is 660, 802, 394, 328

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 802 is 2 x 401

Prime Factorization of 394 is 2 x 197

Prime Factorization of 328 is 2 x 2 x 2 x 41

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 660, 802, 394, 328 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(660, 802) = 264660

GCD(660, 802) = ( 660 x 802 ) / 264660

GCD(660, 802) = 529320 / 264660

GCD(660, 802) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 660, 802, 394, 328 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 802, 394, 328

1. What is the GCD of 660, 802, 394, 328?

GCD of 660, 802, 394, 328 is 2


2. Where do I get the detailed procedure to find GCD of 660, 802, 394, 328?

You can find a detailed procedure to find GCD of 660, 802, 394, 328 on our page.


3. How to find GCD of 660, 802, 394, 328 on a calculator?

You can find the GCD of 660, 802, 394, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.