Where do I get the detailed procedure to find GCD of 814, 374, 996?

You can find a detailed procedure to find GCD of 814, 374, 996 on our page.

How to find GCD of 814, 374, 996 on a calculator?

You can find the GCD of 814, 374, 996 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, 374, 996 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, 374, 996 quickly. Get the easiest ways to solve the greatest common divisor of 814, 374, 996 i.e 2 in different methods as follows.

How to Find GCD of Numbers 814, 374, 996 with Factoring?

Given Input numbers are 814, 374, 996

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (814, 374, 996) = 2.

Find GCD of 814, 374, 996 using Prime Factorization

Given numbers are 814, 374, 996

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 374 are 2 x 11 x 17

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 814, 374, 996 is 2.

Steps to Calculate GCD of 814, 374, 996 using LCM Formula

Given numbers are 814, 374, 996

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

Apply this formula for all numbers.

Step1:

LCM(814, 374) = 13838

GCD(814, 374) = ( 814 x 374 ) / 13838

= 814 / 374

= 814

Step2:

LCM(22, 996) = 10956

GCD(22, 996) = ( 22 x 996 ) / 10956

= 22 / 996

= 22

So, Greatest Common Divisor of 814, 374, 996 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 814, 374, 996

Given numbers are 814, 374, 996
The greatest common divisor of numbers 814, 374, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 374, 996 is 2.

FAQs on GCD of 814, 374, 996 Calculator

1. What is the GCD of 814, 374, 996?

GCD of given numbers 814, 374, 996 is 2

2. How to calculate the greatest common divisor of 814, 374, 996?

We can find the highest common divisor of 814, 374, 996 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, 374, 996 i.e 2.

3. How can I use the GCD of 814, 374, 996Calculator?

Out the numbers 814, 374, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.