GCD of 267, 903, 14 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 267, 903, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 267, 903, 14 is 1

GCD(267, 903, 14) = 1

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

GCD of

GCD of numbers 267, 903, 14 is 1

GCD(267, 903, 14) = 1

GCD of 267,903,14 Calculator

GCDof 267,903,14 is 1

Given Input numbers are 267, 903, 14

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 267, 903, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 903, 14 is 1.

Therefore, GCD of numbers 267, 903, 14 is 1

Finding GCD of 267, 903, 14 using Prime Factorization

Given Input Data is 267, 903, 14

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 14 is 2 x 7

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

Finding GCD of 267, 903, 14 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(267, 903) = 80367

GCD(267, 903) = ( 267 x 903 ) / 80367

GCD(267, 903) = 241101 / 80367

GCD(267, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

GCD of 267, 903, 14 is 1

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FAQs on GCD of numbers 267, 903, 14

1. What is the GCD of 267, 903, 14?

GCD of 267, 903, 14 is 1

2. Where do I get the detailed procedure to find GCD of 267, 903, 14?

You can find a detailed procedure to find GCD of 267, 903, 14 on our page.

3. How to find GCD of 267, 903, 14 on a calculator?

You can find the GCD of 267, 903, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.