GCD of 306, 904, 45, 864 Calculator

Given Input numbers are 306, 904, 45, 864

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 306, 904, 45, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 904, 45, 864 is 1.

Therefore, GCD of numbers 306, 904, 45, 864 is 1

Given Input Data is 306, 904, 45, 864

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(306, 904) = 138312

GCD(306, 904) = ( 306 x 904 ) / 138312

GCD(306, 904) = 276624 / 138312

GCD(306, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 306, 904, 45, 864 is 1

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1. What is the GCD of 306, 904, 45, 864?

GCD of 306, 904, 45, 864 is 1

2. Where do I get the detailed procedure to find GCD of 306, 904, 45, 864?

You can find a detailed procedure to find GCD of 306, 904, 45, 864 on our page.

3. How to find GCD of 306, 904, 45, 864 on a calculator?

You can find the GCD of 306, 904, 45, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.