GCD of 444, 738, 96, 896 Calculator

Given Input numbers are 444, 738, 96, 896

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 444, 738, 96, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 738, 96, 896 is 2.

Therefore, GCD of numbers 444, 738, 96, 896 is 2

Given Input Data is 444, 738, 96, 896

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 738 is 2 x 3 x 3 x 41

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(444, 738) = 54612

GCD(444, 738) = ( 444 x 738 ) / 54612

GCD(444, 738) = 327672 / 54612

GCD(444, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 96

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

LCM(6, 96) = 96

GCD(6, 96) = ( 6 x 96 ) / 96

GCD(6, 96) = 576 / 96

GCD(6, 96) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 896

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

LCM(6, 896) = 2688

GCD(6, 896) = ( 6 x 896 ) / 2688

GCD(6, 896) = 5376 / 2688

GCD(6, 896) = 2

GCD of 444, 738, 96, 896 is 2

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1. What is the GCD of 444, 738, 96, 896?

GCD of 444, 738, 96, 896 is 2

2. Where do I get the detailed procedure to find GCD of 444, 738, 96, 896?

You can find a detailed procedure to find GCD of 444, 738, 96, 896 on our page.

3. How to find GCD of 444, 738, 96, 896 on a calculator?

You can find the GCD of 444, 738, 96, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.