GCD of 434, 442, 594, 872 Calculator

Given Input numbers are 434, 442, 594, 872

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

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 434, 442, 594, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 442, 594, 872 is 2.

Therefore, GCD of numbers 434, 442, 594, 872 is 2

Given Input Data is 434, 442, 594, 872

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(434, 442) = 95914

GCD(434, 442) = ( 434 x 442 ) / 95914

GCD(434, 442) = 191828 / 95914

GCD(434, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 434, 442, 594, 872 is 2

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• GCD of 943, 208, 428, 558
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• GCD of 997, 821, 740, 972

1. What is the GCD of 434, 442, 594, 872?

GCD of 434, 442, 594, 872 is 2

2. Where do I get the detailed procedure to find GCD of 434, 442, 594, 872?

You can find a detailed procedure to find GCD of 434, 442, 594, 872 on our page.

3. How to find GCD of 434, 442, 594, 872 on a calculator?

You can find the GCD of 434, 442, 594, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.