Where do I get the detailed procedure to find GCD of 494, 208, 481?

You can find a detailed procedure to find GCD of 494, 208, 481 on our page.

How to find GCD of 494, 208, 481 on a calculator?

You can find the GCD of 494, 208, 481 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 494, 208, 481 Calculator

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

Online GCD Calculator is useful to find the GCD of 494, 208, 481 quickly. Get the easiest ways to solve the greatest common divisor of 494, 208, 481 i.e 13 in different methods as follows.

How to Find GCD of Numbers 494, 208, 481 with Factoring?

Given Input numbers are 494, 208, 481

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481

GCD of numbers is the greatest common divisor

So, the GCD (494, 208, 481) = 13.

Find GCD of 494, 208, 481 using Prime Factorization

Given numbers are 494, 208, 481

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 481 are 13 x 37

The highest common occurrence is 13¹

Therefore, GCD of 494, 208, 481 is 13.

Steps to Calculate GCD of 494, 208, 481 using LCM Formula

Given numbers are 494, 208, 481

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

Apply this formula for all numbers.

Step1:

LCM(494, 208) = 3952

GCD(494, 208) = ( 494 x 208 ) / 3952

= 494 / 208

= 494

Step2:

LCM(26, 481) = 962

GCD(26, 481) = ( 26 x 481 ) / 962

= 26 / 481

= 26

So, Greatest Common Divisor of 494, 208, 481 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 494, 208, 481

Given numbers are 494, 208, 481
The greatest common divisor of numbers 494, 208, 481 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 208, 481 is 13.

FAQs on GCD of 494, 208, 481 Calculator

1. What is the GCD of 494, 208, 481?

GCD of given numbers 494, 208, 481 is 13

2. How to calculate the greatest common divisor of 494, 208, 481?

We can find the highest common divisor of 494, 208, 481 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 494, 208, 481 i.e 13.

3. How can I use the GCD of 494, 208, 481Calculator?

Out the numbers 494, 208, 481 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.