Where do I get the detailed procedure to find GCD of 382, 814, 874?

You can find a detailed procedure to find GCD of 382, 814, 874 on our page.

How to find GCD of 382, 814, 874 on a calculator?

You can find the GCD of 382, 814, 874 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 382, 814, 874 Calculator

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

Online GCD Calculator is useful to find the GCD of 382, 814, 874 quickly. Get the easiest ways to solve the greatest common divisor of 382, 814, 874 i.e 2 in different methods as follows.

How to Find GCD of Numbers 382, 814, 874 with Factoring?

Given Input numbers are 382, 814, 874

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 814 :

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

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (382, 814, 874) = 2.

Find GCD of 382, 814, 874 using Prime Factorization

Given numbers are 382, 814, 874

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 814 are 2 x 11 x 37

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 382, 814, 874 is 2.

Steps to Calculate GCD of 382, 814, 874 using LCM Formula

Given numbers are 382, 814, 874

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

Apply this formula for all numbers.

Step1:

LCM(382, 814) = 155474

GCD(382, 814) = ( 382 x 814 ) / 155474

= 382 / 814

= 382

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 382, 814, 874 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 382, 814, 874

Given numbers are 382, 814, 874
The greatest common divisor of numbers 382, 814, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 814, 874 is 2.

FAQs on GCD of 382, 814, 874 Calculator

1. What is the GCD of 382, 814, 874?

GCD of given numbers 382, 814, 874 is 2

2. How to calculate the greatest common divisor of 382, 814, 874?

We can find the highest common divisor of 382, 814, 874 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 382, 814, 874 i.e 2.

3. How can I use the GCD of 382, 814, 874Calculator?

Out the numbers 382, 814, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.