GCD of 506, 330, 29, 387 Calculator

Given Input numbers are 506, 330, 29, 387

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 506, 330, 29, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 330, 29, 387 is 1.

Therefore, GCD of numbers 506, 330, 29, 387 is 1

Given Input Data is 506, 330, 29, 387

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 29 is 29

Prime Factorization of 387 is 3 x 3 x 43

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(506, 330) = 7590

GCD(506, 330) = ( 506 x 330 ) / 7590

GCD(506, 330) = 166980 / 7590

GCD(506, 330) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 29

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

LCM(22, 29) = 638

GCD(22, 29) = ( 22 x 29 ) / 638

GCD(22, 29) = 638 / 638

GCD(22, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 506, 330, 29, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 917, 73, 785
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• GCD of 715, 306, 97, 129

1. What is the GCD of 506, 330, 29, 387?

GCD of 506, 330, 29, 387 is 1

2. Where do I get the detailed procedure to find GCD of 506, 330, 29, 387?

You can find a detailed procedure to find GCD of 506, 330, 29, 387 on our page.

3. How to find GCD of 506, 330, 29, 387 on a calculator?

You can find the GCD of 506, 330, 29, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.