GCD of 472, 128, 16 Calculator

Given Input numbers are 472, 128, 16

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

Divisors of 472

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

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 472, 128, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 128, 16 is 8.

Therefore, GCD of numbers 472, 128, 16 is 8

Given Input Data is 472, 128, 16

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

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(472, 128) = 7552

GCD(472, 128) = ( 472 x 128 ) / 7552

GCD(472, 128) = 60416 / 7552

GCD(472, 128) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 16

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

LCM(8, 16) = 16

GCD(8, 16) = ( 8 x 16 ) / 16

GCD(8, 16) = 128 / 16

GCD(8, 16) = 8

GCD of 472, 128, 16 is 8

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1. What is the GCD of 472, 128, 16?

GCD of 472, 128, 16 is 8

2. Where do I get the detailed procedure to find GCD of 472, 128, 16?

You can find a detailed procedure to find GCD of 472, 128, 16 on our page.

3. How to find GCD of 472, 128, 16 on a calculator?

You can find the GCD of 472, 128, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.