GCD of 596, 322, 40 Calculator

Given Input numbers are 596, 322, 40

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 596, 322, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 322, 40 is 2.

Therefore, GCD of numbers 596, 322, 40 is 2

Given Input Data is 596, 322, 40

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 322 is 2 x 7 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

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, 322) = 95956

GCD(596, 322) = ( 596 x 322 ) / 95956

GCD(596, 322) = 191912 / 95956

GCD(596, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

GCD of 596, 322, 40 is 2

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1. What is the GCD of 596, 322, 40?

GCD of 596, 322, 40 is 2

2. Where do I get the detailed procedure to find GCD of 596, 322, 40?

You can find a detailed procedure to find GCD of 596, 322, 40 on our page.

3. How to find GCD of 596, 322, 40 on a calculator?

You can find the GCD of 596, 322, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.