GCD of 924, 221, 71, 238 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, 221, 71, 238 i.e. 1 largest integer that divides all the numbers equally.

GCD of 924, 221, 71, 238 is 1

GCD(924, 221, 71, 238) = 1

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

GCD of

GCD of numbers 924, 221, 71, 238 is 1

GCD(924, 221, 71, 238) = 1

GCD of 924,221,71,238 Calculator

GCDof 924,221,71,238 is 1

Given Input numbers are 924, 221, 71, 238

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 924, 221, 71, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 221, 71, 238 is 1.

Therefore, GCD of numbers 924, 221, 71, 238 is 1

Finding GCD of 924, 221, 71, 238 using Prime Factorization

Given Input Data is 924, 221, 71, 238

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 221 is 13 x 17

Prime Factorization of 71 is 71

Prime Factorization of 238 is 2 x 7 x 17

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

Finding GCD of 924, 221, 71, 238 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, 221) = 204204

GCD(924, 221) = ( 924 x 221 ) / 204204

GCD(924, 221) = 204204 / 204204

GCD(924, 221) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 924, 221, 71, 238 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 924, 221, 71, 238

1. What is the GCD of 924, 221, 71, 238?

GCD of 924, 221, 71, 238 is 1


2. Where do I get the detailed procedure to find GCD of 924, 221, 71, 238?

You can find a detailed procedure to find GCD of 924, 221, 71, 238 on our page.


3. How to find GCD of 924, 221, 71, 238 on a calculator?

You can find the GCD of 924, 221, 71, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.