Where do I get the detailed procedure to find GCD of 408, 208, 422?

You can find a detailed procedure to find GCD of 408, 208, 422 on our page.

How to find GCD of 408, 208, 422 on a calculator?

You can find the GCD of 408, 208, 422 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 408, 208, 422 Calculator

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

Online GCD Calculator is useful to find the GCD of 408, 208, 422 quickly. Get the easiest ways to solve the greatest common divisor of 408, 208, 422 i.e 2 in different methods as follows.

How to Find GCD of Numbers 408, 208, 422 with Factoring?

Given Input numbers are 408, 208, 422

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (408, 208, 422) = 2.

Find GCD of 408, 208, 422 using Prime Factorization

Given numbers are 408, 208, 422

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 408, 208, 422 is 2.

Steps to Calculate GCD of 408, 208, 422 using LCM Formula

Given numbers are 408, 208, 422

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

Apply this formula for all numbers.

Step1:

LCM(408, 208) = 10608

GCD(408, 208) = ( 408 x 208 ) / 10608

= 408 / 208

= 408

Step2:

LCM(8, 422) = 1688

GCD(8, 422) = ( 8 x 422 ) / 1688

= 8 / 422

= 8

So, Greatest Common Divisor of 408, 208, 422 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 408, 208, 422

Given numbers are 408, 208, 422
The greatest common divisor of numbers 408, 208, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 208, 422 is 2.

FAQs on GCD of 408, 208, 422 Calculator

1. What is the GCD of 408, 208, 422?

GCD of given numbers 408, 208, 422 is 2

2. How to calculate the greatest common divisor of 408, 208, 422?

We can find the highest common divisor of 408, 208, 422 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 408, 208, 422 i.e 2.

3. How can I use the GCD of 408, 208, 422Calculator?

Out the numbers 408, 208, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.