Where do I get the detailed procedure to find GCD of 108, 738, 406?

You can find a detailed procedure to find GCD of 108, 738, 406 on our page.

How to find GCD of 108, 738, 406 on a calculator?

You can find the GCD of 108, 738, 406 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 108, 738, 406 Calculator

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

Online GCD Calculator is useful to find the GCD of 108, 738, 406 quickly. Get the easiest ways to solve the greatest common divisor of 108, 738, 406 i.e 2 in different methods as follows.

How to Find GCD of Numbers 108, 738, 406 with Factoring?

Given Input numbers are 108, 738, 406

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (108, 738, 406) = 2.

Find GCD of 108, 738, 406 using Prime Factorization

Given numbers are 108, 738, 406

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 108, 738, 406 is 2.

Steps to Calculate GCD of 108, 738, 406 using LCM Formula

Given numbers are 108, 738, 406

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

Apply this formula for all numbers.

Step1:

LCM(108, 738) = 4428

GCD(108, 738) = ( 108 x 738 ) / 4428

= 108 / 738

= 108

Step2:

LCM(18, 406) = 3654

GCD(18, 406) = ( 18 x 406 ) / 3654

= 18 / 406

= 18

So, Greatest Common Divisor of 108, 738, 406 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 108, 738, 406

Given numbers are 108, 738, 406
The greatest common divisor of numbers 108, 738, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 738, 406 is 2.

FAQs on GCD of 108, 738, 406 Calculator

1. What is the GCD of 108, 738, 406?

GCD of given numbers 108, 738, 406 is 2

2. How to calculate the greatest common divisor of 108, 738, 406?

We can find the highest common divisor of 108, 738, 406 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 108, 738, 406 i.e 2.

3. How can I use the GCD of 108, 738, 406Calculator?

Out the numbers 108, 738, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.