GCD of 231, 129, 417 Calculator

Given Input numbers are 231, 129, 417

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 231, 129, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 129, 417 is 3.

Therefore, GCD of numbers 231, 129, 417 is 3

Given Input Data is 231, 129, 417

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 129 is 3 x 43

Prime Factorization of 417 is 3 x 139

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 129) = 9933

GCD(231, 129) = ( 231 x 129 ) / 9933

GCD(231, 129) = 29799 / 9933

GCD(231, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

GCD of 231, 129, 417 is 3

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1. What is the GCD of 231, 129, 417?

GCD of 231, 129, 417 is 3

2. Where do I get the detailed procedure to find GCD of 231, 129, 417?

You can find a detailed procedure to find GCD of 231, 129, 417 on our page.

3. How to find GCD of 231, 129, 417 on a calculator?

You can find the GCD of 231, 129, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.