GCD of 540, 424, 23, 223 Calculator

Given Input numbers are 540, 424, 23, 223

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 23

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

1, 23

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 540, 424, 23, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 424, 23, 223 is 1.

Therefore, GCD of numbers 540, 424, 23, 223 is 1

Given Input Data is 540, 424, 23, 223

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 424 is 2 x 2 x 2 x 53

Prime Factorization of 23 is 23

Prime Factorization of 223 is 223

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, 424) = 57240

GCD(540, 424) = ( 540 x 424 ) / 57240

GCD(540, 424) = 228960 / 57240

GCD(540, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

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

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 540, 424, 23, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 696, 53, 469
• GCD of 655, 440, 16, 747
• GCD of 565, 190, 43, 615
• GCD of 255, 743, 23, 772
• GCD of 349, 627, 29, 392

1. What is the GCD of 540, 424, 23, 223?

GCD of 540, 424, 23, 223 is 1

2. Where do I get the detailed procedure to find GCD of 540, 424, 23, 223?

You can find a detailed procedure to find GCD of 540, 424, 23, 223 on our page.

3. How to find GCD of 540, 424, 23, 223 on a calculator?

You can find the GCD of 540, 424, 23, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.