GCD of 40, 570, 488, 596 Calculator

Given Input numbers are 40, 570, 488, 596

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

Divisors of 40

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

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 596

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

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 40, 570, 488, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 570, 488, 596 is 2.

Therefore, GCD of numbers 40, 570, 488, 596 is 2

Given Input Data is 40, 570, 488, 596

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

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 596 is 2 x 2 x 149

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(40, 570) = 2280

GCD(40, 570) = ( 40 x 570 ) / 2280

GCD(40, 570) = 22800 / 2280

GCD(40, 570) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 488

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

LCM(10, 488) = 2440

GCD(10, 488) = ( 10 x 488 ) / 2440

GCD(10, 488) = 4880 / 2440

GCD(10, 488) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 596

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

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

GCD(2, 596) = 1192 / 596

GCD(2, 596) = 2

GCD of 40, 570, 488, 596 is 2

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1. What is the GCD of 40, 570, 488, 596?

GCD of 40, 570, 488, 596 is 2

2. Where do I get the detailed procedure to find GCD of 40, 570, 488, 596?

You can find a detailed procedure to find GCD of 40, 570, 488, 596 on our page.

3. How to find GCD of 40, 570, 488, 596 on a calculator?

You can find the GCD of 40, 570, 488, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.