GCD of 924, 922, 355, 288 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, 922, 355, 288 i.e. 1 largest integer that divides all the numbers equally.

GCD of 924, 922, 355, 288 is 1

GCD(924, 922, 355, 288) = 1

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

GCD of

GCD of numbers 924, 922, 355, 288 is 1

GCD(924, 922, 355, 288) = 1

GCD of 924,922,355,288 Calculator

GCDof 924,922,355,288 is 1

Given Input numbers are 924, 922, 355, 288

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 924, 922, 355, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 922, 355, 288 is 1.

Therefore, GCD of numbers 924, 922, 355, 288 is 1

Finding GCD of 924, 922, 355, 288 using Prime Factorization

Given Input Data is 924, 922, 355, 288

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 922 is 2 x 461

Prime Factorization of 355 is 5 x 71

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Finding GCD of 924, 922, 355, 288 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, 922) = 425964

GCD(924, 922) = ( 924 x 922 ) / 425964

GCD(924, 922) = 851928 / 425964

GCD(924, 922) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 924, 922, 355, 288 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 924, 922, 355, 288

1. What is the GCD of 924, 922, 355, 288?

GCD of 924, 922, 355, 288 is 1


2. Where do I get the detailed procedure to find GCD of 924, 922, 355, 288?

You can find a detailed procedure to find GCD of 924, 922, 355, 288 on our page.


3. How to find GCD of 924, 922, 355, 288 on a calculator?

You can find the GCD of 924, 922, 355, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.