GCD of 304, 717, 72, 238 Calculator

Given Input numbers are 304, 717, 72, 238

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

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 717

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

1, 3, 239, 717

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 304, 717, 72, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 717, 72, 238 is 1.

Therefore, GCD of numbers 304, 717, 72, 238 is 1

Given Input Data is 304, 717, 72, 238

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

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 238 is 2 x 7 x 17

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(304, 717) = 217968

GCD(304, 717) = ( 304 x 717 ) / 217968

GCD(304, 717) = 217968 / 217968

GCD(304, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 304, 717, 72, 238 is 1

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• GCD of 630, 444, 12, 949
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• GCD of 517, 959, 83, 117

1. What is the GCD of 304, 717, 72, 238?

GCD of 304, 717, 72, 238 is 1

2. Where do I get the detailed procedure to find GCD of 304, 717, 72, 238?

You can find a detailed procedure to find GCD of 304, 717, 72, 238 on our page.

3. How to find GCD of 304, 717, 72, 238 on a calculator?

You can find the GCD of 304, 717, 72, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.