Where do I get the detailed procedure to find GCD of 814, 338, 884?

You can find a detailed procedure to find GCD of 814, 338, 884 on our page.

How to find GCD of 814, 338, 884 on a calculator?

You can find the GCD of 814, 338, 884 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 814, 338, 884 Calculator

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

Online GCD Calculator is useful to find the GCD of 814, 338, 884 quickly. Get the easiest ways to solve the greatest common divisor of 814, 338, 884 i.e 2 in different methods as follows.

How to Find GCD of Numbers 814, 338, 884 with Factoring?

Given Input numbers are 814, 338, 884

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (814, 338, 884) = 2.

Find GCD of 814, 338, 884 using Prime Factorization

Given numbers are 814, 338, 884

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 338 are 2 x 13 x 13

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 814, 338, 884 is 2.

Steps to Calculate GCD of 814, 338, 884 using LCM Formula

Given numbers are 814, 338, 884

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

Apply this formula for all numbers.

Step1:

LCM(814, 338) = 137566

GCD(814, 338) = ( 814 x 338 ) / 137566

= 814 / 338

= 814

Step2:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 814, 338, 884 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 814, 338, 884

Given numbers are 814, 338, 884
The greatest common divisor of numbers 814, 338, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 338, 884 is 2.

FAQs on GCD of 814, 338, 884 Calculator

1. What is the GCD of 814, 338, 884?

GCD of given numbers 814, 338, 884 is 2

2. How to calculate the greatest common divisor of 814, 338, 884?

We can find the highest common divisor of 814, 338, 884 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 814, 338, 884 i.e 2.

3. How can I use the GCD of 814, 338, 884Calculator?

Out the numbers 814, 338, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.