GCD of 712, 568, 608 Calculator

Given Input numbers are 712, 568, 608

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 712, 568, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 568, 608 is 8.

Therefore, GCD of numbers 712, 568, 608 is 8

Given Input Data is 712, 568, 608

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(712, 568) = 50552

GCD(712, 568) = ( 712 x 568 ) / 50552

GCD(712, 568) = 404416 / 50552

GCD(712, 568) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 608

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

LCM(8, 608) = 608

GCD(8, 608) = ( 8 x 608 ) / 608

GCD(8, 608) = 4864 / 608

GCD(8, 608) = 8

GCD of 712, 568, 608 is 8

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1. What is the GCD of 712, 568, 608?

GCD of 712, 568, 608 is 8

2. Where do I get the detailed procedure to find GCD of 712, 568, 608?

You can find a detailed procedure to find GCD of 712, 568, 608 on our page.

3. How to find GCD of 712, 568, 608 on a calculator?

You can find the GCD of 712, 568, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.