GCD of 594, 900, 434, 472 Calculator

Given Input numbers are 594, 900, 434, 472

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 594, 900, 434, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 900, 434, 472 is 2.

Therefore, GCD of numbers 594, 900, 434, 472 is 2

Given Input Data is 594, 900, 434, 472

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(594, 900) = 29700

GCD(594, 900) = ( 594 x 900 ) / 29700

GCD(594, 900) = 534600 / 29700

GCD(594, 900) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 434

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

LCM(18, 434) = 3906

GCD(18, 434) = ( 18 x 434 ) / 3906

GCD(18, 434) = 7812 / 3906

GCD(18, 434) = 2

Step3:

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 594, 900, 434, 472 is 2

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1. What is the GCD of 594, 900, 434, 472?

GCD of 594, 900, 434, 472 is 2

2. Where do I get the detailed procedure to find GCD of 594, 900, 434, 472?

You can find a detailed procedure to find GCD of 594, 900, 434, 472 on our page.

3. How to find GCD of 594, 900, 434, 472 on a calculator?

You can find the GCD of 594, 900, 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.