GCD of 271, 896, 17, 218 Calculator

Given Input numbers are 271, 896, 17, 218

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 271, 896, 17, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 896, 17, 218 is 1.

Therefore, GCD of numbers 271, 896, 17, 218 is 1

Given Input Data is 271, 896, 17, 218

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

Prime Factorization of 271 is 271

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 17 is 17

Prime Factorization of 218 is 2 x 109

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(271, 896) = 242816

GCD(271, 896) = ( 271 x 896 ) / 242816

GCD(271, 896) = 242816 / 242816

GCD(271, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 271, 896, 17, 218 is 1

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1. What is the GCD of 271, 896, 17, 218?

GCD of 271, 896, 17, 218 is 1

2. Where do I get the detailed procedure to find GCD of 271, 896, 17, 218?

You can find a detailed procedure to find GCD of 271, 896, 17, 218 on our page.

3. How to find GCD of 271, 896, 17, 218 on a calculator?

You can find the GCD of 271, 896, 17, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.