GCD of 288, 906, 842, 640 Calculator

Given Input numbers are 288, 906, 842, 640

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

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

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 288, 906, 842, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 906, 842, 640 is 2.

Therefore, GCD of numbers 288, 906, 842, 640 is 2

Given Input Data is 288, 906, 842, 640

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 842 is 2 x 421

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(288, 906) = 43488

GCD(288, 906) = ( 288 x 906 ) / 43488

GCD(288, 906) = 260928 / 43488

GCD(288, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 842

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

LCM(6, 842) = 2526

GCD(6, 842) = ( 6 x 842 ) / 2526

GCD(6, 842) = 5052 / 2526

GCD(6, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

GCD of 288, 906, 842, 640 is 2

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1. What is the GCD of 288, 906, 842, 640?

GCD of 288, 906, 842, 640 is 2

2. Where do I get the detailed procedure to find GCD of 288, 906, 842, 640?

You can find a detailed procedure to find GCD of 288, 906, 842, 640 on our page.

3. How to find GCD of 288, 906, 842, 640 on a calculator?

You can find the GCD of 288, 906, 842, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.