GCD of 228, 576, 717, 103 Calculator

Given Input numbers are 228, 576, 717, 103

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 717

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

1, 3, 239, 717

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 228, 576, 717, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 576, 717, 103 is 1.

Therefore, GCD of numbers 228, 576, 717, 103 is 1

Given Input Data is 228, 576, 717, 103

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 717 is 3 x 239

Prime Factorization of 103 is 103

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(228, 576) = 10944

GCD(228, 576) = ( 228 x 576 ) / 10944

GCD(228, 576) = 131328 / 10944

GCD(228, 576) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 717

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

LCM(12, 717) = 2868

GCD(12, 717) = ( 12 x 717 ) / 2868

GCD(12, 717) = 8604 / 2868

GCD(12, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1

GCD of 228, 576, 717, 103 is 1

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1. What is the GCD of 228, 576, 717, 103?

GCD of 228, 576, 717, 103 is 1

2. Where do I get the detailed procedure to find GCD of 228, 576, 717, 103?

You can find a detailed procedure to find GCD of 228, 576, 717, 103 on our page.

3. How to find GCD of 228, 576, 717, 103 on a calculator?

You can find the GCD of 228, 576, 717, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.