GCD of 326, 664, 72, 830 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 326, 664, 72, 830 i.e. 2 largest integer that divides all the numbers equally.

GCD of 326, 664, 72, 830 is 2

GCD(326, 664, 72, 830) = 2

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

GCD of

GCD of numbers 326, 664, 72, 830 is 2

GCD(326, 664, 72, 830) = 2

GCD of 326,664,72,830 Calculator

GCDof 326,664,72,830 is 2

Given Input numbers are 326, 664, 72, 830

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 326, 664, 72, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 664, 72, 830 is 2.

Therefore, GCD of numbers 326, 664, 72, 830 is 2

Finding GCD of 326, 664, 72, 830 using Prime Factorization

Given Input Data is 326, 664, 72, 830

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 830 is 2 x 5 x 83

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 326, 664, 72, 830 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(326, 664) = 108232

GCD(326, 664) = ( 326 x 664 ) / 108232

GCD(326, 664) = 216464 / 108232

GCD(326, 664) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 326, 664, 72, 830 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 326, 664, 72, 830

1. What is the GCD of 326, 664, 72, 830?

GCD of 326, 664, 72, 830 is 2


2. Where do I get the detailed procedure to find GCD of 326, 664, 72, 830?

You can find a detailed procedure to find GCD of 326, 664, 72, 830 on our page.


3. How to find GCD of 326, 664, 72, 830 on a calculator?

You can find the GCD of 326, 664, 72, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.