GCD of 538, 426, 372, 928 Calculator

Given Input numbers are 538, 426, 372, 928

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 538, 426, 372, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 426, 372, 928 is 2.

Therefore, GCD of numbers 538, 426, 372, 928 is 2

Given Input Data is 538, 426, 372, 928

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(538, 426) = 114594

GCD(538, 426) = ( 538 x 426 ) / 114594

GCD(538, 426) = 229188 / 114594

GCD(538, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 372

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

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

GCD(2, 372) = 744 / 372

GCD(2, 372) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 538, 426, 372, 928 is 2

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1. What is the GCD of 538, 426, 372, 928?

GCD of 538, 426, 372, 928 is 2

2. Where do I get the detailed procedure to find GCD of 538, 426, 372, 928?

You can find a detailed procedure to find GCD of 538, 426, 372, 928 on our page.

3. How to find GCD of 538, 426, 372, 928 on a calculator?

You can find the GCD of 538, 426, 372, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.