Where do I get the detailed procedure to find GCD of 679, 308, 392?

You can find a detailed procedure to find GCD of 679, 308, 392 on our page.

How to find GCD of 679, 308, 392 on a calculator?

You can find the GCD of 679, 308, 392 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 679, 308, 392 Calculator

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

Online GCD Calculator is useful to find the GCD of 679, 308, 392 quickly. Get the easiest ways to solve the greatest common divisor of 679, 308, 392 i.e 7 in different methods as follows.

How to Find GCD of Numbers 679, 308, 392 with Factoring?

Given Input numbers are 679, 308, 392

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

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (679, 308, 392) = 7.

Find GCD of 679, 308, 392 using Prime Factorization

Given numbers are 679, 308, 392

The list of prime factors of all numbers are

Prime factors of 679 are 7 x 97

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 7¹

Therefore, GCD of 679, 308, 392 is 7.

Steps to Calculate GCD of 679, 308, 392 using LCM Formula

Given numbers are 679, 308, 392

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

Apply this formula for all numbers.

Step1:

LCM(679, 308) = 29876

GCD(679, 308) = ( 679 x 308 ) / 29876

= 679 / 308

= 679

Step2:

LCM(7, 392) = 392

GCD(7, 392) = ( 7 x 392 ) / 392

= 7 / 392

= 7

So, Greatest Common Divisor of 679, 308, 392 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 679, 308, 392

Given numbers are 679, 308, 392
The greatest common divisor of numbers 679, 308, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 679, 308, 392 is 7.

FAQs on GCD of 679, 308, 392 Calculator

1. What is the GCD of 679, 308, 392?

GCD of given numbers 679, 308, 392 is 7

2. How to calculate the greatest common divisor of 679, 308, 392?

We can find the highest common divisor of 679, 308, 392 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 679, 308, 392 i.e 7.

3. How can I use the GCD of 679, 308, 392Calculator?

Out the numbers 679, 308, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.