GCD of 475, 230, 171 Calculator

Given Input numbers are 475, 230, 171

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 475, 230, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 230, 171 is 1.

Therefore, GCD of numbers 475, 230, 171 is 1

Given Input Data is 475, 230, 171

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 171 is 3 x 3 x 19

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(475, 230) = 21850

GCD(475, 230) = ( 475 x 230 ) / 21850

GCD(475, 230) = 109250 / 21850

GCD(475, 230) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 171

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

LCM(5, 171) = 855

GCD(5, 171) = ( 5 x 171 ) / 855

GCD(5, 171) = 855 / 855

GCD(5, 171) = 1

GCD of 475, 230, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 199, 755
• GCD of 693, 927, 523
• GCD of 463, 960, 513
• GCD of 686, 703, 584
• GCD of 174, 313, 179

1. What is the GCD of 475, 230, 171?

GCD of 475, 230, 171 is 1

2. Where do I get the detailed procedure to find GCD of 475, 230, 171?

You can find a detailed procedure to find GCD of 475, 230, 171 on our page.

3. How to find GCD of 475, 230, 171 on a calculator?

You can find the GCD of 475, 230, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.