Where do I get the detailed procedure to find GCD of 342, 114, 816?

You can find a detailed procedure to find GCD of 342, 114, 816 on our page.

How to find GCD of 342, 114, 816 on a calculator?

You can find the GCD of 342, 114, 816 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 342, 114, 816 Calculator

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

Online GCD Calculator is useful to find the GCD of 342, 114, 816 quickly. Get the easiest ways to solve the greatest common divisor of 342, 114, 816 i.e 6 in different methods as follows.

How to Find GCD of Numbers 342, 114, 816 with Factoring?

Given Input numbers are 342, 114, 816

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (342, 114, 816) = 6.

Find GCD of 342, 114, 816 using Prime Factorization

Given numbers are 342, 114, 816

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 114 are 2 x 3 x 19

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 342, 114, 816 is 6.

Steps to Calculate GCD of 342, 114, 816 using LCM Formula

Given numbers are 342, 114, 816

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

Apply this formula for all numbers.

Step1:

LCM(342, 114) = 342

GCD(342, 114) = ( 342 x 114 ) / 342

= 342 / 114

= 342

Step2:

LCM(114, 816) = 15504

GCD(114, 816) = ( 114 x 816 ) / 15504

= 114 / 816

= 114

So, Greatest Common Divisor of 342, 114, 816 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 342, 114, 816

Given numbers are 342, 114, 816
The greatest common divisor of numbers 342, 114, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 114, 816 is 6.

FAQs on GCD of 342, 114, 816 Calculator

1. What is the GCD of 342, 114, 816?

GCD of given numbers 342, 114, 816 is 6

2. How to calculate the greatest common divisor of 342, 114, 816?

We can find the highest common divisor of 342, 114, 816 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 342, 114, 816 i.e 6.

3. How can I use the GCD of 342, 114, 816Calculator?

Out the numbers 342, 114, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.