GCD of 243, 267, 407 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 243, 267, 407 i.e. 1 largest integer that divides all the numbers equally.

GCD of 243, 267, 407 is 1

GCD(243, 267, 407) = 1

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

GCD of

GCD of numbers 243, 267, 407 is 1

GCD(243, 267, 407) = 1

GCD of 243,267,407 Calculator

GCDof 243,267,407 is 1

Given Input numbers are 243, 267, 407

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 267

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

1, 3, 89, 267

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 243, 267, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 267, 407 is 1.

Therefore, GCD of numbers 243, 267, 407 is 1

Finding GCD of 243, 267, 407 using Prime Factorization

Given Input Data is 243, 267, 407

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 267 is 3 x 89

Prime Factorization of 407 is 11 x 37

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

Finding GCD of 243, 267, 407 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(243, 267) = 21627

GCD(243, 267) = ( 243 x 267 ) / 21627

GCD(243, 267) = 64881 / 21627

GCD(243, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 407

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

LCM(3, 407) = 1221

GCD(3, 407) = ( 3 x 407 ) / 1221

GCD(3, 407) = 1221 / 1221

GCD(3, 407) = 1

GCD of 243, 267, 407 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 243, 267, 407

1. What is the GCD of 243, 267, 407?

GCD of 243, 267, 407 is 1

2. Where do I get the detailed procedure to find GCD of 243, 267, 407?

You can find a detailed procedure to find GCD of 243, 267, 407 on our page.

3. How to find GCD of 243, 267, 407 on a calculator?

You can find the GCD of 243, 267, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.