Where do I get the detailed procedure to find GCD of 812, 704, 676?

You can find a detailed procedure to find GCD of 812, 704, 676 on our page.

How to find GCD of 812, 704, 676 on a calculator?

You can find the GCD of 812, 704, 676 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 812, 704, 676 Calculator

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

Online GCD Calculator is useful to find the GCD of 812, 704, 676 quickly. Get the easiest ways to solve the greatest common divisor of 812, 704, 676 i.e 4 in different methods as follows.

How to Find GCD of Numbers 812, 704, 676 with Factoring?

Given Input numbers are 812, 704, 676

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (812, 704, 676) = 4.

Find GCD of 812, 704, 676 using Prime Factorization

Given numbers are 812, 704, 676

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2²

Therefore, GCD of 812, 704, 676 is 4.

Steps to Calculate GCD of 812, 704, 676 using LCM Formula

Given numbers are 812, 704, 676

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

Apply this formula for all numbers.

Step1:

LCM(812, 704) = 142912

GCD(812, 704) = ( 812 x 704 ) / 142912

= 812 / 704

= 812

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 812, 704, 676 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 812, 704, 676

Given numbers are 812, 704, 676
The greatest common divisor of numbers 812, 704, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 704, 676 is 4.

FAQs on GCD of 812, 704, 676 Calculator

1. What is the GCD of 812, 704, 676?

GCD of given numbers 812, 704, 676 is 4

2. How to calculate the greatest common divisor of 812, 704, 676?

We can find the highest common divisor of 812, 704, 676 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 812, 704, 676 i.e 4.

3. How can I use the GCD of 812, 704, 676Calculator?

Out the numbers 812, 704, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.