GCD of 894, 330, 72, 608 Calculator

Given Input numbers are 894, 330, 72, 608

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 894, 330, 72, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 330, 72, 608 is 2.

Therefore, GCD of numbers 894, 330, 72, 608 is 2

Given Input Data is 894, 330, 72, 608

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(894, 330) = 49170

GCD(894, 330) = ( 894 x 330 ) / 49170

GCD(894, 330) = 295020 / 49170

GCD(894, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 608

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

LCM(6, 608) = 1824

GCD(6, 608) = ( 6 x 608 ) / 1824

GCD(6, 608) = 3648 / 1824

GCD(6, 608) = 2

GCD of 894, 330, 72, 608 is 2

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1. What is the GCD of 894, 330, 72, 608?

GCD of 894, 330, 72, 608 is 2

2. Where do I get the detailed procedure to find GCD of 894, 330, 72, 608?

You can find a detailed procedure to find GCD of 894, 330, 72, 608 on our page.

3. How to find GCD of 894, 330, 72, 608 on a calculator?

You can find the GCD of 894, 330, 72, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.