GCD of 217, 255, 50, 171 Calculator

Given Input numbers are 217, 255, 50, 171

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 217, 255, 50, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 255, 50, 171 is 1.

Therefore, GCD of numbers 217, 255, 50, 171 is 1

Given Input Data is 217, 255, 50, 171

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 50 is 2 x 5 x 5

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(217, 255) = 55335

GCD(217, 255) = ( 217 x 255 ) / 55335

GCD(217, 255) = 55335 / 55335

GCD(217, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 217, 255, 50, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 385, 54, 124
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• GCD of 608, 636, 55, 582

1. What is the GCD of 217, 255, 50, 171?

GCD of 217, 255, 50, 171 is 1

2. Where do I get the detailed procedure to find GCD of 217, 255, 50, 171?

You can find a detailed procedure to find GCD of 217, 255, 50, 171 on our page.

3. How to find GCD of 217, 255, 50, 171 on a calculator?

You can find the GCD of 217, 255, 50, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.