GCD of 618, 338, 613, 540 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 618, 338, 613, 540 i.e. 1 largest integer that divides all the numbers equally.

GCD of 618, 338, 613, 540 is 1

GCD(618, 338, 613, 540) = 1

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

GCD of

GCD of numbers 618, 338, 613, 540 is 1

GCD(618, 338, 613, 540) = 1

GCD of 618,338,613,540 Calculator

GCDof 618,338,613,540 is 1

Given Input numbers are 618, 338, 613, 540

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 618, 338, 613, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 338, 613, 540 is 1.

Therefore, GCD of numbers 618, 338, 613, 540 is 1

Finding GCD of 618, 338, 613, 540 using Prime Factorization

Given Input Data is 618, 338, 613, 540

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 613 is 613

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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

Finding GCD of 618, 338, 613, 540 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(618, 338) = 104442

GCD(618, 338) = ( 618 x 338 ) / 104442

GCD(618, 338) = 208884 / 104442

GCD(618, 338) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 613

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

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

GCD(2, 613) = 1226 / 1226

GCD(2, 613) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 618, 338, 613, 540 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 618, 338, 613, 540

1. What is the GCD of 618, 338, 613, 540?

GCD of 618, 338, 613, 540 is 1


2. Where do I get the detailed procedure to find GCD of 618, 338, 613, 540?

You can find a detailed procedure to find GCD of 618, 338, 613, 540 on our page.


3. How to find GCD of 618, 338, 613, 540 on a calculator?

You can find the GCD of 618, 338, 613, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.