GCD of 592, 120, 559, 440 Calculator

Given Input numbers are 592, 120, 559, 440

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 592, 120, 559, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 120, 559, 440 is 1.

Therefore, GCD of numbers 592, 120, 559, 440 is 1

Given Input Data is 592, 120, 559, 440

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 559 is 13 x 43

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(592, 120) = 8880

GCD(592, 120) = ( 592 x 120 ) / 8880

GCD(592, 120) = 71040 / 8880

GCD(592, 120) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 559

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

LCM(8, 559) = 4472

GCD(8, 559) = ( 8 x 559 ) / 4472

GCD(8, 559) = 4472 / 4472

GCD(8, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 592, 120, 559, 440 is 1

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1. What is the GCD of 592, 120, 559, 440?

GCD of 592, 120, 559, 440 is 1

2. Where do I get the detailed procedure to find GCD of 592, 120, 559, 440?

You can find a detailed procedure to find GCD of 592, 120, 559, 440 on our page.

3. How to find GCD of 592, 120, 559, 440 on a calculator?

You can find the GCD of 592, 120, 559, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.