GCD of 231, 434, 351, 254 Calculator

Given Input numbers are 231, 434, 351, 254

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

Divisors of 231

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

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 231, 434, 351, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 434, 351, 254 is 1.

Therefore, GCD of numbers 231, 434, 351, 254 is 1

Given Input Data is 231, 434, 351, 254

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 254 is 2 x 127

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(231, 434) = 14322

GCD(231, 434) = ( 231 x 434 ) / 14322

GCD(231, 434) = 100254 / 14322

GCD(231, 434) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 351

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

LCM(7, 351) = 2457

GCD(7, 351) = ( 7 x 351 ) / 2457

GCD(7, 351) = 2457 / 2457

GCD(7, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 231, 434, 351, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 849, 953, 935
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• GCD of 235, 311, 754, 423

1. What is the GCD of 231, 434, 351, 254?

GCD of 231, 434, 351, 254 is 1

2. Where do I get the detailed procedure to find GCD of 231, 434, 351, 254?

You can find a detailed procedure to find GCD of 231, 434, 351, 254 on our page.

3. How to find GCD of 231, 434, 351, 254 on a calculator?

You can find the GCD of 231, 434, 351, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.