GCD of 384, 912, 505, 764 Calculator

Given Input numbers are 384, 912, 505, 764

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 384, 912, 505, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 912, 505, 764 is 1.

Therefore, GCD of numbers 384, 912, 505, 764 is 1

Given Input Data is 384, 912, 505, 764

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 505 is 5 x 101

Prime Factorization of 764 is 2 x 2 x 191

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(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 505

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

LCM(48, 505) = 24240

GCD(48, 505) = ( 48 x 505 ) / 24240

GCD(48, 505) = 24240 / 24240

GCD(48, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 384, 912, 505, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 747, 696, 326
• GCD of 172, 109, 784, 799
• GCD of 388, 985, 935, 680
• GCD of 645, 973, 584, 922
• GCD of 806, 927, 820, 699

1. What is the GCD of 384, 912, 505, 764?

GCD of 384, 912, 505, 764 is 1

2. Where do I get the detailed procedure to find GCD of 384, 912, 505, 764?

You can find a detailed procedure to find GCD of 384, 912, 505, 764 on our page.

3. How to find GCD of 384, 912, 505, 764 on a calculator?

You can find the GCD of 384, 912, 505, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.