GCD of 506, 809, 57, 385 Calculator

Given Input numbers are 506, 809, 57, 385

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 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 506, 809, 57, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 809, 57, 385 is 1.

Therefore, GCD of numbers 506, 809, 57, 385 is 1

Given Input Data is 506, 809, 57, 385

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 809 is 809

Prime Factorization of 57 is 3 x 19

Prime Factorization of 385 is 5 x 7 x 11

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, 809) = 409354

GCD(506, 809) = ( 506 x 809 ) / 409354

GCD(506, 809) = 409354 / 409354

GCD(506, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 506, 809, 57, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 213, 89, 381
• GCD of 293, 160, 77, 715
• GCD of 371, 744, 22, 984
• GCD of 751, 428, 56, 887
• GCD of 517, 455, 71, 432

1. What is the GCD of 506, 809, 57, 385?

GCD of 506, 809, 57, 385 is 1

2. Where do I get the detailed procedure to find GCD of 506, 809, 57, 385?

You can find a detailed procedure to find GCD of 506, 809, 57, 385 on our page.

3. How to find GCD of 506, 809, 57, 385 on a calculator?

You can find the GCD of 506, 809, 57, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.