GCD of 104, 664, 314 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 104, 664, 314 i.e. 2 largest integer that divides all the numbers equally.

GCD of 104, 664, 314 is 2

GCD(104, 664, 314) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 104, 664, 314 is 2

GCD(104, 664, 314) = 2

GCD of 104,664,314 Calculator

GCDof 104,664,314 is 2

Given Input numbers are 104, 664, 314

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 104, 664, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 664, 314 is 2.

Therefore, GCD of numbers 104, 664, 314 is 2

Finding GCD of 104, 664, 314 using Prime Factorization

Given Input Data is 104, 664, 314

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 104, 664, 314 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(104, 664) = 8632

GCD(104, 664) = ( 104 x 664 ) / 8632

GCD(104, 664) = 69056 / 8632

GCD(104, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 314

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

LCM(8, 314) = 1256

GCD(8, 314) = ( 8 x 314 ) / 1256

GCD(8, 314) = 2512 / 1256

GCD(8, 314) = 2

GCD of 104, 664, 314 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 104, 664, 314

1. What is the GCD of 104, 664, 314?

GCD of 104, 664, 314 is 2

2. Where do I get the detailed procedure to find GCD of 104, 664, 314?

You can find a detailed procedure to find GCD of 104, 664, 314 on our page.

3. How to find GCD of 104, 664, 314 on a calculator?

You can find the GCD of 104, 664, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.