GCD of 906, 144, 728 Calculator

Given Input numbers are 906, 144, 728

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 906, 144, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 144, 728 is 2.

Therefore, GCD of numbers 906, 144, 728 is 2

Given Input Data is 906, 144, 728

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(906, 144) = 21744

GCD(906, 144) = ( 906 x 144 ) / 21744

GCD(906, 144) = 130464 / 21744

GCD(906, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 728

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

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

GCD(6, 728) = 4368 / 2184

GCD(6, 728) = 2

GCD of 906, 144, 728 is 2

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1. What is the GCD of 906, 144, 728?

GCD of 906, 144, 728 is 2

2. Where do I get the detailed procedure to find GCD of 906, 144, 728?

You can find a detailed procedure to find GCD of 906, 144, 728 on our page.

3. How to find GCD of 906, 144, 728 on a calculator?

You can find the GCD of 906, 144, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.