GCD of 469, 205, 231 Calculator

Given Input numbers are 469, 205, 231

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 469, 205, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 205, 231 is 1.

Therefore, GCD of numbers 469, 205, 231 is 1

Given Input Data is 469, 205, 231

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 205 is 5 x 41

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(469, 205) = 96145

GCD(469, 205) = ( 469 x 205 ) / 96145

GCD(469, 205) = 96145 / 96145

GCD(469, 205) = 1

Step2:

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 469, 205, 231 is 1

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1. What is the GCD of 469, 205, 231?

GCD of 469, 205, 231 is 1

2. Where do I get the detailed procedure to find GCD of 469, 205, 231?

You can find a detailed procedure to find GCD of 469, 205, 231 on our page.

3. How to find GCD of 469, 205, 231 on a calculator?

You can find the GCD of 469, 205, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.