GCD of 208, 249, 17, 886 Calculator

Given Input numbers are 208, 249, 17, 886

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

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 17

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

1, 17

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 208, 249, 17, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 249, 17, 886 is 1.

Therefore, GCD of numbers 208, 249, 17, 886 is 1

Given Input Data is 208, 249, 17, 886

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

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 17 is 17

Prime Factorization of 886 is 2 x 443

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(208, 249) = 51792

GCD(208, 249) = ( 208 x 249 ) / 51792

GCD(208, 249) = 51792 / 51792

GCD(208, 249) = 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 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 208, 249, 17, 886 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 403, 67, 583
• GCD of 390, 940, 44, 816
• GCD of 376, 663, 41, 230
• GCD of 616, 729, 90, 972
• GCD of 251, 212, 67, 517

1. What is the GCD of 208, 249, 17, 886?

GCD of 208, 249, 17, 886 is 1

2. Where do I get the detailed procedure to find GCD of 208, 249, 17, 886?

You can find a detailed procedure to find GCD of 208, 249, 17, 886 on our page.

3. How to find GCD of 208, 249, 17, 886 on a calculator?

You can find the GCD of 208, 249, 17, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.