GCD of 506, 311, 42, 476 Calculator

Given Input numbers are 506, 311, 42, 476

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 506, 311, 42, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 311, 42, 476 is 1.

Therefore, GCD of numbers 506, 311, 42, 476 is 1

Given Input Data is 506, 311, 42, 476

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 311 is 311

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 311) = 157366

GCD(506, 311) = ( 506 x 311 ) / 157366

GCD(506, 311) = 157366 / 157366

GCD(506, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 506, 311, 42, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 840, 66, 642
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• GCD of 657, 637, 12, 520

1. What is the GCD of 506, 311, 42, 476?

GCD of 506, 311, 42, 476 is 1

2. Where do I get the detailed procedure to find GCD of 506, 311, 42, 476?

You can find a detailed procedure to find GCD of 506, 311, 42, 476 on our page.

3. How to find GCD of 506, 311, 42, 476 on a calculator?

You can find the GCD of 506, 311, 42, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.