GCD of 381, 805, 506, 231 Calculator

Given Input numbers are 381, 805, 506, 231

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 381, 805, 506, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 805, 506, 231 is 1.

Therefore, GCD of numbers 381, 805, 506, 231 is 1

Given Input Data is 381, 805, 506, 231

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 231 is 3 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(381, 805) = 306705

GCD(381, 805) = ( 381 x 805 ) / 306705

GCD(381, 805) = 306705 / 306705

GCD(381, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 381, 805, 506, 231 is 1

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1. What is the GCD of 381, 805, 506, 231?

GCD of 381, 805, 506, 231 is 1

2. Where do I get the detailed procedure to find GCD of 381, 805, 506, 231?

You can find a detailed procedure to find GCD of 381, 805, 506, 231 on our page.

3. How to find GCD of 381, 805, 506, 231 on a calculator?

You can find the GCD of 381, 805, 506, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.