GCD of 904, 176, 96, 472 Calculator

Given Input numbers are 904, 176, 96, 472

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

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 904, 176, 96, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 176, 96, 472 is 8.

Therefore, GCD of numbers 904, 176, 96, 472 is 8

Given Input Data is 904, 176, 96, 472

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

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(904, 176) = 19888

GCD(904, 176) = ( 904 x 176 ) / 19888

GCD(904, 176) = 159104 / 19888

GCD(904, 176) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 96

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

LCM(8, 96) = 96

GCD(8, 96) = ( 8 x 96 ) / 96

GCD(8, 96) = 768 / 96

GCD(8, 96) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 472

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

LCM(8, 472) = 472

GCD(8, 472) = ( 8 x 472 ) / 472

GCD(8, 472) = 3776 / 472

GCD(8, 472) = 8

GCD of 904, 176, 96, 472 is 8

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1. What is the GCD of 904, 176, 96, 472?

GCD of 904, 176, 96, 472 is 8

2. Where do I get the detailed procedure to find GCD of 904, 176, 96, 472?

You can find a detailed procedure to find GCD of 904, 176, 96, 472 on our page.

3. How to find GCD of 904, 176, 96, 472 on a calculator?

You can find the GCD of 904, 176, 96, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.