Where do I get the detailed procedure to find GCD of 828, 198, 687?

You can find a detailed procedure to find GCD of 828, 198, 687 on our page.

How to find GCD of 828, 198, 687 on a calculator?

You can find the GCD of 828, 198, 687 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 828, 198, 687 Calculator

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

Online GCD Calculator is useful to find the GCD of 828, 198, 687 quickly. Get the easiest ways to solve the greatest common divisor of 828, 198, 687 i.e 3 in different methods as follows.

How to Find GCD of Numbers 828, 198, 687 with Factoring?

Given Input numbers are 828, 198, 687

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (828, 198, 687) = 3.

Find GCD of 828, 198, 687 using Prime Factorization

Given numbers are 828, 198, 687

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 828, 198, 687 is 3.

Steps to Calculate GCD of 828, 198, 687 using LCM Formula

Given numbers are 828, 198, 687

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

Apply this formula for all numbers.

Step1:

LCM(828, 198) = 9108

GCD(828, 198) = ( 828 x 198 ) / 9108

= 828 / 198

= 828

Step2:

LCM(18, 687) = 4122

GCD(18, 687) = ( 18 x 687 ) / 4122

= 18 / 687

= 18

So, Greatest Common Divisor of 828, 198, 687 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 828, 198, 687

Given numbers are 828, 198, 687
The greatest common divisor of numbers 828, 198, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 198, 687 is 3.

FAQs on GCD of 828, 198, 687 Calculator

1. What is the GCD of 828, 198, 687?

GCD of given numbers 828, 198, 687 is 3

2. How to calculate the greatest common divisor of 828, 198, 687?

We can find the highest common divisor of 828, 198, 687 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 828, 198, 687 i.e 3.

3. How can I use the GCD of 828, 198, 687Calculator?

Out the numbers 828, 198, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.