GCD of 596, 434, 472 Calculator

Given Input numbers are 596, 434, 472

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 596, 434, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 434, 472 is 2.

Therefore, GCD of numbers 596, 434, 472 is 2

Given Input Data is 596, 434, 472

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 472 is 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(596, 434) = 129332

GCD(596, 434) = ( 596 x 434 ) / 129332

GCD(596, 434) = 258664 / 129332

GCD(596, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

GCD of 596, 434, 472 is 2

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1. What is the GCD of 596, 434, 472?

GCD of 596, 434, 472 is 2

2. Where do I get the detailed procedure to find GCD of 596, 434, 472?

You can find a detailed procedure to find GCD of 596, 434, 472 on our page.

3. How to find GCD of 596, 434, 472 on a calculator?

You can find the GCD of 596, 434, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.