GCD of 406, 132, 23, 540 Calculator

Given Input numbers are 406, 132, 23, 540

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 406, 132, 23, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 132, 23, 540 is 1.

Therefore, GCD of numbers 406, 132, 23, 540 is 1

Given Input Data is 406, 132, 23, 540

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 23 is 23

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

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(406, 132) = 26796

GCD(406, 132) = ( 406 x 132 ) / 26796

GCD(406, 132) = 53592 / 26796

GCD(406, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 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 406, 132, 23, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 813, 23, 430
• GCD of 209, 422, 21, 121
• GCD of 119, 886, 35, 181
• GCD of 733, 955, 91, 345
• GCD of 127, 616, 49, 654

1. What is the GCD of 406, 132, 23, 540?

GCD of 406, 132, 23, 540 is 1

2. Where do I get the detailed procedure to find GCD of 406, 132, 23, 540?

You can find a detailed procedure to find GCD of 406, 132, 23, 540 on our page.

3. How to find GCD of 406, 132, 23, 540 on a calculator?

You can find the GCD of 406, 132, 23, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.