GCD of 270, 348, 205, 648 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 270, 348, 205, 648 i.e. 1 largest integer that divides all the numbers equally.

GCD of 270, 348, 205, 648 is 1

GCD(270, 348, 205, 648) = 1

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

GCD of

GCD of numbers 270, 348, 205, 648 is 1

GCD(270, 348, 205, 648) = 1

GCD of 270,348,205,648 Calculator

GCDof 270,348,205,648 is 1

Given Input numbers are 270, 348, 205, 648

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 270, 348, 205, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 348, 205, 648 is 1.

Therefore, GCD of numbers 270, 348, 205, 648 is 1

Finding GCD of 270, 348, 205, 648 using Prime Factorization

Given Input Data is 270, 348, 205, 648

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 205 is 5 x 41

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 270, 348, 205, 648 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(270, 348) = 15660

GCD(270, 348) = ( 270 x 348 ) / 15660

GCD(270, 348) = 93960 / 15660

GCD(270, 348) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 205

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

LCM(6, 205) = 1230

GCD(6, 205) = ( 6 x 205 ) / 1230

GCD(6, 205) = 1230 / 1230

GCD(6, 205) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 270, 348, 205, 648 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 270, 348, 205, 648

1. What is the GCD of 270, 348, 205, 648?

GCD of 270, 348, 205, 648 is 1


2. Where do I get the detailed procedure to find GCD of 270, 348, 205, 648?

You can find a detailed procedure to find GCD of 270, 348, 205, 648 on our page.


3. How to find GCD of 270, 348, 205, 648 on a calculator?

You can find the GCD of 270, 348, 205, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.