Where do I get the detailed procedure to find GCD of 864, 200, 238?

You can find a detailed procedure to find GCD of 864, 200, 238 on our page.

How to find GCD of 864, 200, 238 on a calculator?

You can find the GCD of 864, 200, 238 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 864, 200, 238 Calculator

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

Online GCD Calculator is useful to find the GCD of 864, 200, 238 quickly. Get the easiest ways to solve the greatest common divisor of 864, 200, 238 i.e 2 in different methods as follows.

How to Find GCD of Numbers 864, 200, 238 with Factoring?

Given Input numbers are 864, 200, 238

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

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (864, 200, 238) = 2.

Find GCD of 864, 200, 238 using Prime Factorization

Given numbers are 864, 200, 238

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 864, 200, 238 is 2.

Steps to Calculate GCD of 864, 200, 238 using LCM Formula

Given numbers are 864, 200, 238

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

Apply this formula for all numbers.

Step1:

LCM(864, 200) = 21600

GCD(864, 200) = ( 864 x 200 ) / 21600

= 864 / 200

= 864

Step2:

LCM(8, 238) = 952

GCD(8, 238) = ( 8 x 238 ) / 952

= 8 / 238

= 8

So, Greatest Common Divisor of 864, 200, 238 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 864, 200, 238

Given numbers are 864, 200, 238
The greatest common divisor of numbers 864, 200, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 200, 238 is 2.

FAQs on GCD of 864, 200, 238 Calculator

1. What is the GCD of 864, 200, 238?

GCD of given numbers 864, 200, 238 is 2

2. How to calculate the greatest common divisor of 864, 200, 238?

We can find the highest common divisor of 864, 200, 238 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 864, 200, 238 i.e 2.

3. How can I use the GCD of 864, 200, 238Calculator?

Out the numbers 864, 200, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.