GCD of 240, 114, 269 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 240, 114, 269 i.e. 1 largest integer that divides all the numbers equally.

GCD of 240, 114, 269 is 1

GCD(240, 114, 269) = 1

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

GCD of

GCD of numbers 240, 114, 269 is 1

GCD(240, 114, 269) = 1

GCD of 240,114,269 Calculator

GCDof 240,114,269 is 1

Given Input numbers are 240, 114, 269

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 269

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

1, 269

Greatest Common Divisior

We found the divisors of 240, 114, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 114, 269 is 1.

Therefore, GCD of numbers 240, 114, 269 is 1

Finding GCD of 240, 114, 269 using Prime Factorization

Given Input Data is 240, 114, 269

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 269 is 269

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

Finding GCD of 240, 114, 269 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(240, 114) = 4560

GCD(240, 114) = ( 240 x 114 ) / 4560

GCD(240, 114) = 27360 / 4560

GCD(240, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 269

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

LCM(6, 269) = 1614

GCD(6, 269) = ( 6 x 269 ) / 1614

GCD(6, 269) = 1614 / 1614

GCD(6, 269) = 1

GCD of 240, 114, 269 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 240, 114, 269

1. What is the GCD of 240, 114, 269?

GCD of 240, 114, 269 is 1

2. Where do I get the detailed procedure to find GCD of 240, 114, 269?

You can find a detailed procedure to find GCD of 240, 114, 269 on our page.

3. How to find GCD of 240, 114, 269 on a calculator?

You can find the GCD of 240, 114, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.