GCD of 208, 282, 697, 912 Calculator

Given Input numbers are 208, 282, 697, 912

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 208, 282, 697, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 282, 697, 912 is 1.

Therefore, GCD of numbers 208, 282, 697, 912 is 1

Given Input Data is 208, 282, 697, 912

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 282 is 2 x 3 x 47

Prime Factorization of 697 is 17 x 41

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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, 282) = 29328

GCD(208, 282) = ( 208 x 282 ) / 29328

GCD(208, 282) = 58656 / 29328

GCD(208, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 208, 282, 697, 912 is 1

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1. What is the GCD of 208, 282, 697, 912?

GCD of 208, 282, 697, 912 is 1

2. Where do I get the detailed procedure to find GCD of 208, 282, 697, 912?

You can find a detailed procedure to find GCD of 208, 282, 697, 912 on our page.

3. How to find GCD of 208, 282, 697, 912 on a calculator?

You can find the GCD of 208, 282, 697, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.