GCD of 768, 784, 459 Calculator

Given Input numbers are 768, 784, 459

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 768, 784, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 784, 459 is 1.

Therefore, GCD of numbers 768, 784, 459 is 1

Given Input Data is 768, 784, 459

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(768, 784) = 37632

GCD(768, 784) = ( 768 x 784 ) / 37632

GCD(768, 784) = 602112 / 37632

GCD(768, 784) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 459

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

LCM(16, 459) = 7344

GCD(16, 459) = ( 16 x 459 ) / 7344

GCD(16, 459) = 7344 / 7344

GCD(16, 459) = 1

GCD of 768, 784, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 421, 306
• GCD of 157, 270, 483
• GCD of 324, 713, 906
• GCD of 776, 149, 158
• GCD of 156, 443, 391

1. What is the GCD of 768, 784, 459?

GCD of 768, 784, 459 is 1

2. Where do I get the detailed procedure to find GCD of 768, 784, 459?

You can find a detailed procedure to find GCD of 768, 784, 459 on our page.

3. How to find GCD of 768, 784, 459 on a calculator?

You can find the GCD of 768, 784, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.