GCD of 271, 474, 17, 208 Calculator

Given Input numbers are 271, 474, 17, 208

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 17

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

1, 17

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 271, 474, 17, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 474, 17, 208 is 1.

Therefore, GCD of numbers 271, 474, 17, 208 is 1

Given Input Data is 271, 474, 17, 208

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

Prime Factorization of 271 is 271

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 17 is 17

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 474) = 128454

GCD(271, 474) = ( 271 x 474 ) / 128454

GCD(271, 474) = 128454 / 128454

GCD(271, 474) = 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 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 271, 474, 17, 208 is 1

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1. What is the GCD of 271, 474, 17, 208?

GCD of 271, 474, 17, 208 is 1

2. Where do I get the detailed procedure to find GCD of 271, 474, 17, 208?

You can find a detailed procedure to find GCD of 271, 474, 17, 208 on our page.

3. How to find GCD of 271, 474, 17, 208 on a calculator?

You can find the GCD of 271, 474, 17, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.