GCD of 430, 382, 36, 231 Calculator

Given Input numbers are 430, 382, 36, 231

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

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 430, 382, 36, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 382, 36, 231 is 1.

Therefore, GCD of numbers 430, 382, 36, 231 is 1

Given Input Data is 430, 382, 36, 231

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 382 is 2 x 191

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(430, 382) = 82130

GCD(430, 382) = ( 430 x 382 ) / 82130

GCD(430, 382) = 164260 / 82130

GCD(430, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

GCD of 430, 382, 36, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 909, 51, 462
• GCD of 792, 242, 32, 556
• GCD of 417, 652, 31, 232
• GCD of 448, 939, 62, 948
• GCD of 758, 243, 60, 343

1. What is the GCD of 430, 382, 36, 231?

GCD of 430, 382, 36, 231 is 1

2. Where do I get the detailed procedure to find GCD of 430, 382, 36, 231?

You can find a detailed procedure to find GCD of 430, 382, 36, 231 on our page.

3. How to find GCD of 430, 382, 36, 231 on a calculator?

You can find the GCD of 430, 382, 36, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.