GCD of 516, 240, 21, 566 Calculator

Given Input numbers are 516, 240, 21, 566

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 516, 240, 21, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 240, 21, 566 is 1.

Therefore, GCD of numbers 516, 240, 21, 566 is 1

Given Input Data is 516, 240, 21, 566

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 566 is 2 x 283

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(516, 240) = 10320

GCD(516, 240) = ( 516 x 240 ) / 10320

GCD(516, 240) = 123840 / 10320

GCD(516, 240) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 21

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

LCM(12, 21) = 84

GCD(12, 21) = ( 12 x 21 ) / 84

GCD(12, 21) = 252 / 84

GCD(12, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 566

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

LCM(3, 566) = 1698

GCD(3, 566) = ( 3 x 566 ) / 1698

GCD(3, 566) = 1698 / 1698

GCD(3, 566) = 1

GCD of 516, 240, 21, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 198, 61, 218
• GCD of 343, 641, 78, 230
• GCD of 411, 109, 66, 253
• GCD of 910, 766, 53, 152
• GCD of 358, 288, 16, 415

1. What is the GCD of 516, 240, 21, 566?

GCD of 516, 240, 21, 566 is 1

2. Where do I get the detailed procedure to find GCD of 516, 240, 21, 566?

You can find a detailed procedure to find GCD of 516, 240, 21, 566 on our page.

3. How to find GCD of 516, 240, 21, 566 on a calculator?

You can find the GCD of 516, 240, 21, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.