GCD of 576, 904, 386, 112 Calculator

Given Input numbers are 576, 904, 386, 112

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 576, 904, 386, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 904, 386, 112 is 2.

Therefore, GCD of numbers 576, 904, 386, 112 is 2

Given Input Data is 576, 904, 386, 112

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 386 is 2 x 193

Prime Factorization of 112 is 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(576, 904) = 65088

GCD(576, 904) = ( 576 x 904 ) / 65088

GCD(576, 904) = 520704 / 65088

GCD(576, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 386

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

LCM(8, 386) = 1544

GCD(8, 386) = ( 8 x 386 ) / 1544

GCD(8, 386) = 3088 / 1544

GCD(8, 386) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 576, 904, 386, 112 is 2

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1. What is the GCD of 576, 904, 386, 112?

GCD of 576, 904, 386, 112 is 2

2. Where do I get the detailed procedure to find GCD of 576, 904, 386, 112?

You can find a detailed procedure to find GCD of 576, 904, 386, 112 on our page.

3. How to find GCD of 576, 904, 386, 112 on a calculator?

You can find the GCD of 576, 904, 386, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.