GCD of 178, 216, 723, 717 Calculator

Given Input numbers are 178, 216, 723, 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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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, 216, 723, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 216, 723, 717 is 1.

Therefore, GCD of numbers 178, 216, 723, 717 is 1

Given Input Data is 178, 216, 723, 717

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 723 is 3 x 241

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, 216) = 19224

GCD(178, 216) = ( 178 x 216 ) / 19224

GCD(178, 216) = 38448 / 19224

GCD(178, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 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, 216, 723, 717 is 1

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1. What is the GCD of 178, 216, 723, 717?

GCD of 178, 216, 723, 717 is 1

2. Where do I get the detailed procedure to find GCD of 178, 216, 723, 717?

You can find a detailed procedure to find GCD of 178, 216, 723, 717 on our page.

3. How to find GCD of 178, 216, 723, 717 on a calculator?

You can find the GCD of 178, 216, 723, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.