GCD of 162, 243, 34, 268 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 162, 243, 34, 268 i.e. 1 largest integer that divides all the numbers equally.

GCD of 162, 243, 34, 268 is 1

GCD(162, 243, 34, 268) = 1

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

GCD of

GCD of numbers 162, 243, 34, 268 is 1

GCD(162, 243, 34, 268) = 1

GCD of 162,243,34,268 Calculator

GCDof 162,243,34,268 is 1

Given Input numbers are 162, 243, 34, 268

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 162, 243, 34, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 243, 34, 268 is 1.

Therefore, GCD of numbers 162, 243, 34, 268 is 1

Finding GCD of 162, 243, 34, 268 using Prime Factorization

Given Input Data is 162, 243, 34, 268

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 268 is 2 x 2 x 67

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

Finding GCD of 162, 243, 34, 268 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(162, 243) = 486

GCD(162, 243) = ( 162 x 243 ) / 486

GCD(162, 243) = 39366 / 486

GCD(162, 243) = 81


Step2:

Here we consider the GCD from the above i.e. 81 as first number and the next as 34

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

LCM(81, 34) = 2754

GCD(81, 34) = ( 81 x 34 ) / 2754

GCD(81, 34) = 2754 / 2754

GCD(81, 34) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 162, 243, 34, 268 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 162, 243, 34, 268

1. What is the GCD of 162, 243, 34, 268?

GCD of 162, 243, 34, 268 is 1


2. Where do I get the detailed procedure to find GCD of 162, 243, 34, 268?

You can find a detailed procedure to find GCD of 162, 243, 34, 268 on our page.


3. How to find GCD of 162, 243, 34, 268 on a calculator?

You can find the GCD of 162, 243, 34, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.