GCD of 864, 217, 796 Calculator

Given Input numbers are 864, 217, 796

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 864, 217, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 217, 796 is 1.

Therefore, GCD of numbers 864, 217, 796 is 1

Given Input Data is 864, 217, 796

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 217 is 7 x 31

Prime Factorization of 796 is 2 x 2 x 199

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, 217) = 187488

GCD(864, 217) = ( 864 x 217 ) / 187488

GCD(864, 217) = 187488 / 187488

GCD(864, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 864, 217, 796 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 642, 427
• GCD of 498, 150, 686
• GCD of 350, 969, 306
• GCD of 557, 936, 262
• GCD of 217, 167, 380

1. What is the GCD of 864, 217, 796?

GCD of 864, 217, 796 is 1

2. Where do I get the detailed procedure to find GCD of 864, 217, 796?

You can find a detailed procedure to find GCD of 864, 217, 796 on our page.

3. How to find GCD of 864, 217, 796 on a calculator?

You can find the GCD of 864, 217, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.