GCD of 269, 199, 69, 247 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, 199, 69, 247 i.e. 1 largest integer that divides all the numbers equally.

GCD of 269, 199, 69, 247 is 1

GCD(269, 199, 69, 247) = 1

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

GCD of

GCD of numbers 269, 199, 69, 247 is 1

GCD(269, 199, 69, 247) = 1

GCD of 269,199,69,247 Calculator

GCDof 269,199,69,247 is 1

Given Input numbers are 269, 199, 69, 247

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 269, 199, 69, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 199, 69, 247 is 1.

Therefore, GCD of numbers 269, 199, 69, 247 is 1

Finding GCD of 269, 199, 69, 247 using Prime Factorization

Given Input Data is 269, 199, 69, 247

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

Prime Factorization of 269 is 269

Prime Factorization of 199 is 199

Prime Factorization of 69 is 3 x 23

Prime Factorization of 247 is 13 x 19

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

Finding GCD of 269, 199, 69, 247 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, 199) = 53531

GCD(269, 199) = ( 269 x 199 ) / 53531

GCD(269, 199) = 53531 / 53531

GCD(269, 199) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 269, 199, 69, 247 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 269, 199, 69, 247

1. What is the GCD of 269, 199, 69, 247?

GCD of 269, 199, 69, 247 is 1


2. Where do I get the detailed procedure to find GCD of 269, 199, 69, 247?

You can find a detailed procedure to find GCD of 269, 199, 69, 247 on our page.


3. How to find GCD of 269, 199, 69, 247 on a calculator?

You can find the GCD of 269, 199, 69, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.