GCD of 123, 540, 18, 326 Calculator

Given Input numbers are 123, 540, 18, 326

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 123, 540, 18, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 540, 18, 326 is 1.

Therefore, GCD of numbers 123, 540, 18, 326 is 1

Given Input Data is 123, 540, 18, 326

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

Prime Factorization of 123 is 3 x 41

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 326 is 2 x 163

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

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(123, 540) = 22140

GCD(123, 540) = ( 123 x 540 ) / 22140

GCD(123, 540) = 66420 / 22140

GCD(123, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 326

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

LCM(3, 326) = 978

GCD(3, 326) = ( 3 x 326 ) / 978

GCD(3, 326) = 978 / 978

GCD(3, 326) = 1

GCD of 123, 540, 18, 326 is 1

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• GCD of 115, 797, 67, 334
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1. What is the GCD of 123, 540, 18, 326?

GCD of 123, 540, 18, 326 is 1

2. Where do I get the detailed procedure to find GCD of 123, 540, 18, 326?

You can find a detailed procedure to find GCD of 123, 540, 18, 326 on our page.

3. How to find GCD of 123, 540, 18, 326 on a calculator?

You can find the GCD of 123, 540, 18, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.