GCD of 688, 903, 321 Calculator

Given Input numbers are 688, 903, 321

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 688, 903, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 903, 321 is 1.

Therefore, GCD of numbers 688, 903, 321 is 1

Given Input Data is 688, 903, 321

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 321 is 3 x 107

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(688, 903) = 14448

GCD(688, 903) = ( 688 x 903 ) / 14448

GCD(688, 903) = 621264 / 14448

GCD(688, 903) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 321

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

LCM(43, 321) = 13803

GCD(43, 321) = ( 43 x 321 ) / 13803

GCD(43, 321) = 13803 / 13803

GCD(43, 321) = 1

GCD of 688, 903, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 662, 349
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• GCD of 366, 329, 144
• GCD of 300, 990, 678
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1. What is the GCD of 688, 903, 321?

GCD of 688, 903, 321 is 1

2. Where do I get the detailed procedure to find GCD of 688, 903, 321?

You can find a detailed procedure to find GCD of 688, 903, 321 on our page.

3. How to find GCD of 688, 903, 321 on a calculator?

You can find the GCD of 688, 903, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.