GCD of 178, 304, 29, 717 Calculator

Given Input numbers are 178, 304, 29, 717

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 178, 304, 29, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 304, 29, 717 is 1.

Therefore, GCD of numbers 178, 304, 29, 717 is 1

Given Input Data is 178, 304, 29, 717

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 29 is 29

Prime Factorization of 717 is 3 x 239

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(178, 304) = 27056

GCD(178, 304) = ( 178 x 304 ) / 27056

GCD(178, 304) = 54112 / 27056

GCD(178, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 178, 304, 29, 717 is 1

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1. What is the GCD of 178, 304, 29, 717?

GCD of 178, 304, 29, 717 is 1

2. Where do I get the detailed procedure to find GCD of 178, 304, 29, 717?

You can find a detailed procedure to find GCD of 178, 304, 29, 717 on our page.

3. How to find GCD of 178, 304, 29, 717 on a calculator?

You can find the GCD of 178, 304, 29, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.