GCD of 208, 999, 747 Calculator

Given Input numbers are 208, 999, 747

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 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 208, 999, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 999, 747 is 1.

Therefore, GCD of numbers 208, 999, 747 is 1

Given Input Data is 208, 999, 747

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 999 is 3 x 3 x 3 x 37

Prime Factorization of 747 is 3 x 3 x 83

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, 999) = 207792

GCD(208, 999) = ( 208 x 999 ) / 207792

GCD(208, 999) = 207792 / 207792

GCD(208, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 208, 999, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 773, 307
• GCD of 994, 647, 200
• GCD of 988, 691, 821
• GCD of 663, 445, 187
• GCD of 858, 608, 281

1. What is the GCD of 208, 999, 747?

GCD of 208, 999, 747 is 1

2. Where do I get the detailed procedure to find GCD of 208, 999, 747?

You can find a detailed procedure to find GCD of 208, 999, 747 on our page.

3. How to find GCD of 208, 999, 747 on a calculator?

You can find the GCD of 208, 999, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.