GCD of 96, 912, 442, 424 Calculator

Given Input numbers are 96, 912, 442, 424

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 96, 912, 442, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 912, 442, 424 is 2.

Therefore, GCD of numbers 96, 912, 442, 424 is 2

Given Input Data is 96, 912, 442, 424

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(96, 912) = 1824

GCD(96, 912) = ( 96 x 912 ) / 1824

GCD(96, 912) = 87552 / 1824

GCD(96, 912) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 442

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

LCM(48, 442) = 10608

GCD(48, 442) = ( 48 x 442 ) / 10608

GCD(48, 442) = 21216 / 10608

GCD(48, 442) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 96, 912, 442, 424 is 2

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1. What is the GCD of 96, 912, 442, 424?

GCD of 96, 912, 442, 424 is 2

2. Where do I get the detailed procedure to find GCD of 96, 912, 442, 424?

You can find a detailed procedure to find GCD of 96, 912, 442, 424 on our page.

3. How to find GCD of 96, 912, 442, 424 on a calculator?

You can find the GCD of 96, 912, 442, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.