Where do I get the detailed procedure to find GCD of 696, 216, 84?

You can find a detailed procedure to find GCD of 696, 216, 84 on our page.

How to find GCD of 696, 216, 84 on a calculator?

You can find the GCD of 696, 216, 84 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 696, 216, 84 Calculator

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

Online GCD Calculator is useful to find the GCD of 696, 216, 84 quickly. Get the easiest ways to solve the greatest common divisor of 696, 216, 84 i.e 12 in different methods as follows.

How to Find GCD of Numbers 696, 216, 84 with Factoring?

Given Input numbers are 696, 216, 84

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD of numbers is the greatest common divisor

So, the GCD (696, 216, 84) = 12.

Find GCD of 696, 216, 84 using Prime Factorization

Given numbers are 696, 216, 84

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 2² x 3¹

Therefore, GCD of 696, 216, 84 is 12.

Steps to Calculate GCD of 696, 216, 84 using LCM Formula

Given numbers are 696, 216, 84

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

Apply this formula for all numbers.

Step1:

LCM(696, 216) = 6264

GCD(696, 216) = ( 696 x 216 ) / 6264

= 696 / 216

= 696

Step2:

LCM(24, 84) = 168

GCD(24, 84) = ( 24 x 84 ) / 168

= 24 / 84

= 24

So, Greatest Common Divisor of 696, 216, 84 is 12

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 696, 216, 84

Given numbers are 696, 216, 84
The greatest common divisor of numbers 696, 216, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 216, 84 is 12.

FAQs on GCD of 696, 216, 84 Calculator

1. What is the GCD of 696, 216, 84?

GCD of given numbers 696, 216, 84 is 12

2. How to calculate the greatest common divisor of 696, 216, 84?

We can find the highest common divisor of 696, 216, 84 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 696, 216, 84 i.e 12.

3. How can I use the GCD of 696, 216, 84Calculator?

Out the numbers 696, 216, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.