GCD of 864, 447, 45, 905 Calculator

Given Input numbers are 864, 447, 45, 905

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

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 864, 447, 45, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 447, 45, 905 is 1.

Therefore, GCD of numbers 864, 447, 45, 905 is 1

Given Input Data is 864, 447, 45, 905

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

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 905 is 5 x 181

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(864, 447) = 128736

GCD(864, 447) = ( 864 x 447 ) / 128736

GCD(864, 447) = 386208 / 128736

GCD(864, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

GCD of 864, 447, 45, 905 is 1

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1. What is the GCD of 864, 447, 45, 905?

GCD of 864, 447, 45, 905 is 1

2. Where do I get the detailed procedure to find GCD of 864, 447, 45, 905?

You can find a detailed procedure to find GCD of 864, 447, 45, 905 on our page.

3. How to find GCD of 864, 447, 45, 905 on a calculator?

You can find the GCD of 864, 447, 45, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.