Where do I get the detailed procedure to find GCD of 168, 978, 798?

You can find a detailed procedure to find GCD of 168, 978, 798 on our page.

How to find GCD of 168, 978, 798 on a calculator?

You can find the GCD of 168, 978, 798 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 168, 978, 798 Calculator

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

Online GCD Calculator is useful to find the GCD of 168, 978, 798 quickly. Get the easiest ways to solve the greatest common divisor of 168, 978, 798 i.e 6 in different methods as follows.

How to Find GCD of Numbers 168, 978, 798 with Factoring?

Given Input numbers are 168, 978, 798

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (168, 978, 798) = 6.

Find GCD of 168, 978, 798 using Prime Factorization

Given numbers are 168, 978, 798

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 978 are 2 x 3 x 163

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 168, 978, 798 is 6.

Steps to Calculate GCD of 168, 978, 798 using LCM Formula

Given numbers are 168, 978, 798

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

Apply this formula for all numbers.

Step1:

LCM(168, 978) = 27384

GCD(168, 978) = ( 168 x 978 ) / 27384

= 168 / 978

= 168

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

So, Greatest Common Divisor of 168, 978, 798 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 168, 978, 798

Given numbers are 168, 978, 798
The greatest common divisor of numbers 168, 978, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 978, 798 is 6.

FAQs on GCD of 168, 978, 798 Calculator

1. What is the GCD of 168, 978, 798?

GCD of given numbers 168, 978, 798 is 6

2. How to calculate the greatest common divisor of 168, 978, 798?

We can find the highest common divisor of 168, 978, 798 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 168, 978, 798 i.e 6.

3. How can I use the GCD of 168, 978, 798Calculator?

Out the numbers 168, 978, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.