GCD of 540, 644, 14, 413 Calculator

Given Input numbers are 540, 644, 14, 413

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

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 540, 644, 14, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 644, 14, 413 is 1.

Therefore, GCD of numbers 540, 644, 14, 413 is 1

Given Input Data is 540, 644, 14, 413

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

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 14 is 2 x 7

Prime Factorization of 413 is 7 x 59

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(540, 644) = 86940

GCD(540, 644) = ( 540 x 644 ) / 86940

GCD(540, 644) = 347760 / 86940

GCD(540, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 413

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

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

GCD(2, 413) = 826 / 826

GCD(2, 413) = 1

GCD of 540, 644, 14, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 209, 42, 754
• GCD of 422, 676, 30, 189
• GCD of 402, 396, 77, 287
• GCD of 864, 705, 96, 105
• GCD of 646, 979, 32, 193

1. What is the GCD of 540, 644, 14, 413?

GCD of 540, 644, 14, 413 is 1

2. Where do I get the detailed procedure to find GCD of 540, 644, 14, 413?

You can find a detailed procedure to find GCD of 540, 644, 14, 413 on our page.

3. How to find GCD of 540, 644, 14, 413 on a calculator?

You can find the GCD of 540, 644, 14, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.