GCD of 568, 232, 76, 304 Calculator

Given Input numbers are 568, 232, 76, 304

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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

Greatest Common Divisior

We found the divisors of 568, 232, 76, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 232, 76, 304 is 4.

Therefore, GCD of numbers 568, 232, 76, 304 is 4

Given Input Data is 568, 232, 76, 304

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 76 is 2 x 2 x 19

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(568, 232) = 16472

GCD(568, 232) = ( 568 x 232 ) / 16472

GCD(568, 232) = 131776 / 16472

GCD(568, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 76

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

LCM(8, 76) = 152

GCD(8, 76) = ( 8 x 76 ) / 152

GCD(8, 76) = 608 / 152

GCD(8, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 304

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

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

GCD(4, 304) = 1216 / 304

GCD(4, 304) = 4

GCD of 568, 232, 76, 304 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 708, 76, 721
• GCD of 322, 180, 61, 704
• GCD of 236, 711, 20, 252
• GCD of 771, 898, 97, 551
• GCD of 888, 327, 90, 767

1. What is the GCD of 568, 232, 76, 304?

GCD of 568, 232, 76, 304 is 4

2. Where do I get the detailed procedure to find GCD of 568, 232, 76, 304?

You can find a detailed procedure to find GCD of 568, 232, 76, 304 on our page.

3. How to find GCD of 568, 232, 76, 304 on a calculator?

You can find the GCD of 568, 232, 76, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.