Where do I get the detailed procedure to find GCD of 822, 687, 306?

You can find a detailed procedure to find GCD of 822, 687, 306 on our page.

How to find GCD of 822, 687, 306 on a calculator?

You can find the GCD of 822, 687, 306 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 822, 687, 306 Calculator

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

Online GCD Calculator is useful to find the GCD of 822, 687, 306 quickly. Get the easiest ways to solve the greatest common divisor of 822, 687, 306 i.e 3 in different methods as follows.

How to Find GCD of Numbers 822, 687, 306 with Factoring?

Given Input numbers are 822, 687, 306

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (822, 687, 306) = 3.

Find GCD of 822, 687, 306 using Prime Factorization

Given numbers are 822, 687, 306

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 687 are 3 x 229

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 822, 687, 306 is 3.

Steps to Calculate GCD of 822, 687, 306 using LCM Formula

Given numbers are 822, 687, 306

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

Apply this formula for all numbers.

Step1:

LCM(822, 687) = 188238

GCD(822, 687) = ( 822 x 687 ) / 188238

= 822 / 687

= 822

Step2:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

So, Greatest Common Divisor of 822, 687, 306 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 822, 687, 306

Given numbers are 822, 687, 306
The greatest common divisor of numbers 822, 687, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 687, 306 is 3.

FAQs on GCD of 822, 687, 306 Calculator

1. What is the GCD of 822, 687, 306?

GCD of given numbers 822, 687, 306 is 3

2. How to calculate the greatest common divisor of 822, 687, 306?

We can find the highest common divisor of 822, 687, 306 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 822, 687, 306 i.e 3.

3. How can I use the GCD of 822, 687, 306Calculator?

Out the numbers 822, 687, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.