GCD of 269, 214, 38, 244 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 269, 214, 38, 244 i.e. 1 largest integer that divides all the numbers equally.

GCD of 269, 214, 38, 244 is 1

GCD(269, 214, 38, 244) = 1

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

GCD of

GCD of numbers 269, 214, 38, 244 is 1

GCD(269, 214, 38, 244) = 1

GCD of 269,214,38,244 Calculator

GCDof 269,214,38,244 is 1

Given Input numbers are 269, 214, 38, 244

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Greatest Common Divisior

We found the divisors of 269, 214, 38, 244 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 214, 38, 244 is 1.

Therefore, GCD of numbers 269, 214, 38, 244 is 1

Finding GCD of 269, 214, 38, 244 using Prime Factorization

Given Input Data is 269, 214, 38, 244

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

Prime Factorization of 269 is 269

Prime Factorization of 214 is 2 x 107

Prime Factorization of 38 is 2 x 19

Prime Factorization of 244 is 2 x 2 x 61

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

Finding GCD of 269, 214, 38, 244 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(269, 214) = 57566

GCD(269, 214) = ( 269 x 214 ) / 57566

GCD(269, 214) = 57566 / 57566

GCD(269, 214) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 244

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

LCM(1, 244) = 244

GCD(1, 244) = ( 1 x 244 ) / 244

GCD(1, 244) = 244 / 244

GCD(1, 244) = 1

GCD of 269, 214, 38, 244 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 269, 214, 38, 244

1. What is the GCD of 269, 214, 38, 244?

GCD of 269, 214, 38, 244 is 1


2. Where do I get the detailed procedure to find GCD of 269, 214, 38, 244?

You can find a detailed procedure to find GCD of 269, 214, 38, 244 on our page.


3. How to find GCD of 269, 214, 38, 244 on a calculator?

You can find the GCD of 269, 214, 38, 244 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.