GCD of 384, 912, 64, 810 Calculator

Given Input numbers are 384, 912, 64, 810

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 384, 912, 64, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 912, 64, 810 is 2.

Therefore, GCD of numbers 384, 912, 64, 810 is 2

Given Input Data is 384, 912, 64, 810

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 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(384, 912) = 7296

GCD(384, 912) = ( 384 x 912 ) / 7296

GCD(384, 912) = 350208 / 7296

GCD(384, 912) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 64

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

LCM(48, 64) = 192

GCD(48, 64) = ( 48 x 64 ) / 192

GCD(48, 64) = 3072 / 192

GCD(48, 64) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 810

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

LCM(16, 810) = 6480

GCD(16, 810) = ( 16 x 810 ) / 6480

GCD(16, 810) = 12960 / 6480

GCD(16, 810) = 2

GCD of 384, 912, 64, 810 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 252, 22, 834
• GCD of 851, 350, 48, 888
• GCD of 154, 703, 12, 971
• GCD of 642, 995, 91, 776
• GCD of 729, 815, 85, 559

1. What is the GCD of 384, 912, 64, 810?

GCD of 384, 912, 64, 810 is 2

2. Where do I get the detailed procedure to find GCD of 384, 912, 64, 810?

You can find a detailed procedure to find GCD of 384, 912, 64, 810 on our page.

3. How to find GCD of 384, 912, 64, 810 on a calculator?

You can find the GCD of 384, 912, 64, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.