GCD of 688, 382, 516, 903 Calculator

Given Input numbers are 688, 382, 516, 903

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 903

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

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

Greatest Common Divisior

We found the divisors of 688, 382, 516, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 382, 516, 903 is 1.

Therefore, GCD of numbers 688, 382, 516, 903 is 1

Given Input Data is 688, 382, 516, 903

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 382 is 2 x 191

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 903 is 3 x 7 x 43

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, 382) = 131408

GCD(688, 382) = ( 688 x 382 ) / 131408

GCD(688, 382) = 262816 / 131408

GCD(688, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 688, 382, 516, 903 is 1

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1. What is the GCD of 688, 382, 516, 903?

GCD of 688, 382, 516, 903 is 1

2. Where do I get the detailed procedure to find GCD of 688, 382, 516, 903?

You can find a detailed procedure to find GCD of 688, 382, 516, 903 on our page.

3. How to find GCD of 688, 382, 516, 903 on a calculator?

You can find the GCD of 688, 382, 516, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.