GCD of 688, 176, 363 Calculator

Given Input numbers are 688, 176, 363

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 688, 176, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 176, 363 is 1.

Therefore, GCD of numbers 688, 176, 363 is 1

Given Input Data is 688, 176, 363

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 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 363 is 3 x 11 x 11

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, 176) = 7568

GCD(688, 176) = ( 688 x 176 ) / 7568

GCD(688, 176) = 121088 / 7568

GCD(688, 176) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 363

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

LCM(16, 363) = 5808

GCD(16, 363) = ( 16 x 363 ) / 5808

GCD(16, 363) = 5808 / 5808

GCD(16, 363) = 1

GCD of 688, 176, 363 is 1

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1. What is the GCD of 688, 176, 363?

GCD of 688, 176, 363 is 1

2. Where do I get the detailed procedure to find GCD of 688, 176, 363?

You can find a detailed procedure to find GCD of 688, 176, 363 on our page.

3. How to find GCD of 688, 176, 363 on a calculator?

You can find the GCD of 688, 176, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.