Where do I get the detailed procedure to find GCD of 822, 723, 684?

You can find a detailed procedure to find GCD of 822, 723, 684 on our page.

How to find GCD of 822, 723, 684 on a calculator?

You can find the GCD of 822, 723, 684 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, 723, 684 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, 723, 684 quickly. Get the easiest ways to solve the greatest common divisor of 822, 723, 684 i.e 3 in different methods as follows.

How to Find GCD of Numbers 822, 723, 684 with Factoring?

Given Input numbers are 822, 723, 684

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (822, 723, 684) = 3.

Find GCD of 822, 723, 684 using Prime Factorization

Given numbers are 822, 723, 684

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 723 are 3 x 241

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 822, 723, 684 is 3.

Steps to Calculate GCD of 822, 723, 684 using LCM Formula

Given numbers are 822, 723, 684

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

Apply this formula for all numbers.

Step1:

LCM(822, 723) = 198102

GCD(822, 723) = ( 822 x 723 ) / 198102

= 822 / 723

= 822

Step2:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

So, Greatest Common Divisor of 822, 723, 684 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 822, 723, 684

Given numbers are 822, 723, 684
The greatest common divisor of numbers 822, 723, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 723, 684 is 3.

FAQs on GCD of 822, 723, 684 Calculator

1. What is the GCD of 822, 723, 684?

GCD of given numbers 822, 723, 684 is 3

2. How to calculate the greatest common divisor of 822, 723, 684?

We can find the highest common divisor of 822, 723, 684 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, 723, 684 i.e 3.

3. How can I use the GCD of 822, 723, 684Calculator?

Out the numbers 822, 723, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.