GCD of 321, 802, 96, 226 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 321, 802, 96, 226 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 802, 96, 226 is 1

GCD(321, 802, 96, 226) = 1

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

GCD of

GCD of numbers 321, 802, 96, 226 is 1

GCD(321, 802, 96, 226) = 1

GCD of 321,802,96,226 Calculator

GCDof 321,802,96,226 is 1

Given Input numbers are 321, 802, 96, 226

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 802

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

1, 2, 401, 802

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 321, 802, 96, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 802, 96, 226 is 1.

Therefore, GCD of numbers 321, 802, 96, 226 is 1

Finding GCD of 321, 802, 96, 226 using Prime Factorization

Given Input Data is 321, 802, 96, 226

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 802 is 2 x 401

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 226 is 2 x 113

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 321, 802, 96, 226 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(321, 802) = 257442

GCD(321, 802) = ( 321 x 802 ) / 257442

GCD(321, 802) = 257442 / 257442

GCD(321, 802) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 321, 802, 96, 226 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 802, 96, 226

1. What is the GCD of 321, 802, 96, 226?

GCD of 321, 802, 96, 226 is 1


2. Where do I get the detailed procedure to find GCD of 321, 802, 96, 226?

You can find a detailed procedure to find GCD of 321, 802, 96, 226 on our page.


3. How to find GCD of 321, 802, 96, 226 on a calculator?

You can find the GCD of 321, 802, 96, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.