GCD of 39, 642, 216, 566 Calculator

Given Input numbers are 39, 642, 216, 566

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 39, 642, 216, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 642, 216, 566 is 1.

Therefore, GCD of numbers 39, 642, 216, 566 is 1

Given Input Data is 39, 642, 216, 566

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(39, 642) = 8346

GCD(39, 642) = ( 39 x 642 ) / 8346

GCD(39, 642) = 25038 / 8346

GCD(39, 642) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 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 39, 642, 216, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 196, 397, 159
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• GCD of 23, 720, 695, 422
• GCD of 42, 231, 603, 220
• GCD of 80, 805, 357, 281

1. What is the GCD of 39, 642, 216, 566?

GCD of 39, 642, 216, 566 is 1

2. Where do I get the detailed procedure to find GCD of 39, 642, 216, 566?

You can find a detailed procedure to find GCD of 39, 642, 216, 566 on our page.

3. How to find GCD of 39, 642, 216, 566 on a calculator?

You can find the GCD of 39, 642, 216, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.