GCD of 96, 442, 124, 884 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 96, 442, 124, 884 i.e. 2 largest integer that divides all the numbers equally.

GCD of 96, 442, 124, 884 is 2

GCD(96, 442, 124, 884) = 2

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

GCD of

GCD of numbers 96, 442, 124, 884 is 2

GCD(96, 442, 124, 884) = 2

GCD of 96,442,124,884 Calculator

GCDof 96,442,124,884 is 2

Given Input numbers are 96, 442, 124, 884

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

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 96, 442, 124, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 442, 124, 884 is 2.

Therefore, GCD of numbers 96, 442, 124, 884 is 2

Finding GCD of 96, 442, 124, 884 using Prime Factorization

Given Input Data is 96, 442, 124, 884

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

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 884 is 2 x 2 x 13 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 96, 442, 124, 884 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(96, 442) = 21216

GCD(96, 442) = ( 96 x 442 ) / 21216

GCD(96, 442) = 42432 / 21216

GCD(96, 442) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 96, 442, 124, 884 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 96, 442, 124, 884

1. What is the GCD of 96, 442, 124, 884?

GCD of 96, 442, 124, 884 is 2


2. Where do I get the detailed procedure to find GCD of 96, 442, 124, 884?

You can find a detailed procedure to find GCD of 96, 442, 124, 884 on our page.


3. How to find GCD of 96, 442, 124, 884 on a calculator?

You can find the GCD of 96, 442, 124, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.