GCD of 208, 758, 17 Calculator

Given Input numbers are 208, 758, 17

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 17

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

1, 17

Greatest Common Divisior

We found the divisors of 208, 758, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 758, 17 is 1.

Therefore, GCD of numbers 208, 758, 17 is 1

Given Input Data is 208, 758, 17

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 758 is 2 x 379

Prime Factorization of 17 is 17

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, 758) = 78832

GCD(208, 758) = ( 208 x 758 ) / 78832

GCD(208, 758) = 157664 / 78832

GCD(208, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

GCD of 208, 758, 17 is 1

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1. What is the GCD of 208, 758, 17?

GCD of 208, 758, 17 is 1

2. Where do I get the detailed procedure to find GCD of 208, 758, 17?

You can find a detailed procedure to find GCD of 208, 758, 17 on our page.

3. How to find GCD of 208, 758, 17 on a calculator?

You can find the GCD of 208, 758, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.