GCD of 204, 250, 71, 215 Calculator

Given Input numbers are 204, 250, 71, 215

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 204, 250, 71, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 250, 71, 215 is 1.

Therefore, GCD of numbers 204, 250, 71, 215 is 1

Given Input Data is 204, 250, 71, 215

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 71 is 71

Prime Factorization of 215 is 5 x 43

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(204, 250) = 25500

GCD(204, 250) = ( 204 x 250 ) / 25500

GCD(204, 250) = 51000 / 25500

GCD(204, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 204, 250, 71, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 340, 28, 221
• GCD of 902, 620, 31, 914
• GCD of 521, 902, 58, 944
• GCD of 743, 817, 77, 265
• GCD of 323, 758, 45, 687

1. What is the GCD of 204, 250, 71, 215?

GCD of 204, 250, 71, 215 is 1

2. Where do I get the detailed procedure to find GCD of 204, 250, 71, 215?

You can find a detailed procedure to find GCD of 204, 250, 71, 215 on our page.

3. How to find GCD of 204, 250, 71, 215 on a calculator?

You can find the GCD of 204, 250, 71, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.