GCD of 428, 438, 282, 594 Calculator

Given Input numbers are 428, 438, 282, 594

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

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

Greatest Common Divisior

We found the divisors of 428, 438, 282, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 438, 282, 594 is 2.

Therefore, GCD of numbers 428, 438, 282, 594 is 2

Given Input Data is 428, 438, 282, 594

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 282 is 2 x 3 x 47

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

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(428, 438) = 93732

GCD(428, 438) = ( 428 x 438 ) / 93732

GCD(428, 438) = 187464 / 93732

GCD(428, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

Step3:

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

GCD of 428, 438, 282, 594 is 2

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1. What is the GCD of 428, 438, 282, 594?

GCD of 428, 438, 282, 594 is 2

2. Where do I get the detailed procedure to find GCD of 428, 438, 282, 594?

You can find a detailed procedure to find GCD of 428, 438, 282, 594 on our page.

3. How to find GCD of 428, 438, 282, 594 on a calculator?

You can find the GCD of 428, 438, 282, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.