GCD of 304, 326, 22, 948 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 304, 326, 22, 948 i.e. 2 largest integer that divides all the numbers equally.

GCD of 304, 326, 22, 948 is 2

GCD(304, 326, 22, 948) = 2

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

GCD of

GCD of numbers 304, 326, 22, 948 is 2

GCD(304, 326, 22, 948) = 2

GCD of 304,326,22,948 Calculator

GCDof 304,326,22,948 is 2

Given Input numbers are 304, 326, 22, 948

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 326

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

1, 2, 163, 326

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 304, 326, 22, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 326, 22, 948 is 2.

Therefore, GCD of numbers 304, 326, 22, 948 is 2

Finding GCD of 304, 326, 22, 948 using Prime Factorization

Given Input Data is 304, 326, 22, 948

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 326 is 2 x 163

Prime Factorization of 22 is 2 x 11

Prime Factorization of 948 is 2 x 2 x 3 x 79

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 304, 326, 22, 948 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(304, 326) = 49552

GCD(304, 326) = ( 304 x 326 ) / 49552

GCD(304, 326) = 99104 / 49552

GCD(304, 326) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

GCD of 304, 326, 22, 948 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 304, 326, 22, 948

1. What is the GCD of 304, 326, 22, 948?

GCD of 304, 326, 22, 948 is 2


2. Where do I get the detailed procedure to find GCD of 304, 326, 22, 948?

You can find a detailed procedure to find GCD of 304, 326, 22, 948 on our page.


3. How to find GCD of 304, 326, 22, 948 on a calculator?

You can find the GCD of 304, 326, 22, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.