GCD of 884, 864, 510, 459 Calculator

Given Input numbers are 884, 864, 510, 459

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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 884, 864, 510, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 864, 510, 459 is 1.

Therefore, GCD of numbers 884, 864, 510, 459 is 1

Given Input Data is 884, 864, 510, 459

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(884, 864) = 190944

GCD(884, 864) = ( 884 x 864 ) / 190944

GCD(884, 864) = 763776 / 190944

GCD(884, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 510

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

LCM(4, 510) = 1020

GCD(4, 510) = ( 4 x 510 ) / 1020

GCD(4, 510) = 2040 / 1020

GCD(4, 510) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 884, 864, 510, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 482, 497, 152
• GCD of 238, 769, 236, 920
• GCD of 617, 391, 282, 992
• GCD of 643, 741, 692, 208
• GCD of 131, 390, 667, 732

1. What is the GCD of 884, 864, 510, 459?

GCD of 884, 864, 510, 459 is 1

2. Where do I get the detailed procedure to find GCD of 884, 864, 510, 459?

You can find a detailed procedure to find GCD of 884, 864, 510, 459 on our page.

3. How to find GCD of 884, 864, 510, 459 on a calculator?

You can find the GCD of 884, 864, 510, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.