GCD of 208, 109, 899 Calculator

Given Input numbers are 208, 109, 899

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 208, 109, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 109, 899 is 1.

Therefore, GCD of numbers 208, 109, 899 is 1

Given Input Data is 208, 109, 899

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 109 is 109

Prime Factorization of 899 is 29 x 31

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, 109) = 22672

GCD(208, 109) = ( 208 x 109 ) / 22672

GCD(208, 109) = 22672 / 22672

GCD(208, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 208, 109, 899 is 1

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1. What is the GCD of 208, 109, 899?

GCD of 208, 109, 899 is 1

2. Where do I get the detailed procedure to find GCD of 208, 109, 899?

You can find a detailed procedure to find GCD of 208, 109, 899 on our page.

3. How to find GCD of 208, 109, 899 on a calculator?

You can find the GCD of 208, 109, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.