Where do I get the detailed procedure to find GCD of 676, 403, 208?

You can find a detailed procedure to find GCD of 676, 403, 208 on our page.

How to find GCD of 676, 403, 208 on a calculator?

You can find the GCD of 676, 403, 208 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 676, 403, 208 Calculator

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

Online GCD Calculator is useful to find the GCD of 676, 403, 208 quickly. Get the easiest ways to solve the greatest common divisor of 676, 403, 208 i.e 13 in different methods as follows.

How to Find GCD of Numbers 676, 403, 208 with Factoring?

Given Input numbers are 676, 403, 208

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

Divisors of 208 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (676, 403, 208) = 13.

Find GCD of 676, 403, 208 using Prime Factorization

Given numbers are 676, 403, 208

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 403 are 13 x 31

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

The highest common occurrence is 13¹

Therefore, GCD of 676, 403, 208 is 13.

Steps to Calculate GCD of 676, 403, 208 using LCM Formula

Given numbers are 676, 403, 208

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

Apply this formula for all numbers.

Step1:

LCM(676, 403) = 20956

GCD(676, 403) = ( 676 x 403 ) / 20956

= 676 / 403

= 676

Step2:

LCM(13, 208) = 208

GCD(13, 208) = ( 13 x 208 ) / 208

= 13 / 208

= 13

So, Greatest Common Divisor of 676, 403, 208 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 676, 403, 208

Given numbers are 676, 403, 208
The greatest common divisor of numbers 676, 403, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 403, 208 is 13.

FAQs on GCD of 676, 403, 208 Calculator

1. What is the GCD of 676, 403, 208?

GCD of given numbers 676, 403, 208 is 13

2. How to calculate the greatest common divisor of 676, 403, 208?

We can find the highest common divisor of 676, 403, 208 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 676, 403, 208 i.e 13.

3. How can I use the GCD of 676, 403, 208Calculator?

Out the numbers 676, 403, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.