Where do I get the detailed procedure to find GCD of 114, 864, 321?

You can find a detailed procedure to find GCD of 114, 864, 321 on our page.

How to find GCD of 114, 864, 321 on a calculator?

You can find the GCD of 114, 864, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 114, 864, 321 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 114, 864, 321 quickly. Get the easiest ways to solve the greatest common divisor of 114, 864, 321 i.e 3 in different methods as follows.

How to Find GCD of Numbers 114, 864, 321 with Factoring?

Given Input numbers are 114, 864, 321

In the factoring method, we have to find the divisors of all numbers

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (114, 864, 321) = 3.

Find GCD of 114, 864, 321 using Prime Factorization

Given numbers are 114, 864, 321

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 321 are 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 114, 864, 321 is 3.

Steps to Calculate GCD of 114, 864, 321 using LCM Formula

Given numbers are 114, 864, 321

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(114, 864) = 16416

GCD(114, 864) = ( 114 x 864 ) / 16416

= 114 / 864

= 114

Step2:

LCM(6, 321) = 642

GCD(6, 321) = ( 6 x 321 ) / 642

= 6 / 321

= 6

So, Greatest Common Divisor of 114, 864, 321 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 114, 864, 321

Given numbers are 114, 864, 321
The greatest common divisor of numbers 114, 864, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 864, 321 is 3.

FAQs on GCD of 114, 864, 321 Calculator

1. What is the GCD of 114, 864, 321?

GCD of given numbers 114, 864, 321 is 3

2. How to calculate the greatest common divisor of 114, 864, 321?

We can find the highest common divisor of 114, 864, 321 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 114, 864, 321 i.e 3.

3. How can I use the GCD of 114, 864, 321Calculator?

Out the numbers 114, 864, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.