GCD of 924, 472, 348, 586 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 924, 472, 348, 586 i.e. 2 largest integer that divides all the numbers equally.

GCD of 924, 472, 348, 586 is 2

GCD(924, 472, 348, 586) = 2

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

GCD of

GCD of numbers 924, 472, 348, 586 is 2

GCD(924, 472, 348, 586) = 2

GCD of 924,472,348,586 Calculator

GCDof 924,472,348,586 is 2

Given Input numbers are 924, 472, 348, 586

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 924, 472, 348, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 472, 348, 586 is 2.

Therefore, GCD of numbers 924, 472, 348, 586 is 2

Finding GCD of 924, 472, 348, 586 using Prime Factorization

Given Input Data is 924, 472, 348, 586

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 586 is 2 x 293

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 924, 472, 348, 586 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(924, 472) = 109032

GCD(924, 472) = ( 924 x 472 ) / 109032

GCD(924, 472) = 436128 / 109032

GCD(924, 472) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 348

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

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

GCD(4, 348) = 1392 / 348

GCD(4, 348) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 586

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

LCM(4, 586) = 1172

GCD(4, 586) = ( 4 x 586 ) / 1172

GCD(4, 586) = 2344 / 1172

GCD(4, 586) = 2

GCD of 924, 472, 348, 586 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 924, 472, 348, 586

1. What is the GCD of 924, 472, 348, 586?

GCD of 924, 472, 348, 586 is 2


2. Where do I get the detailed procedure to find GCD of 924, 472, 348, 586?

You can find a detailed procedure to find GCD of 924, 472, 348, 586 on our page.


3. How to find GCD of 924, 472, 348, 586 on a calculator?

You can find the GCD of 924, 472, 348, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.