Where do I get the detailed procedure to find GCD of 408, 297, 45?

You can find a detailed procedure to find GCD of 408, 297, 45 on our page.

How to find GCD of 408, 297, 45 on a calculator?

You can find the GCD of 408, 297, 45 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, 297, 45 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, 297, 45 quickly. Get the easiest ways to solve the greatest common divisor of 408, 297, 45 i.e 3 in different methods as follows.

How to Find GCD of Numbers 408, 297, 45 with Factoring?

Given Input numbers are 408, 297, 45

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (408, 297, 45) = 3.

Find GCD of 408, 297, 45 using Prime Factorization

Given numbers are 408, 297, 45

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 297 are 3 x 3 x 3 x 11

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 408, 297, 45 is 3.

Steps to Calculate GCD of 408, 297, 45 using LCM Formula

Given numbers are 408, 297, 45

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

Apply this formula for all numbers.

Step1:

LCM(408, 297) = 40392

GCD(408, 297) = ( 408 x 297 ) / 40392

= 408 / 297

= 408

Step2:

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

= 3 / 45

= 3

So, Greatest Common Divisor of 408, 297, 45 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 408, 297, 45

Given numbers are 408, 297, 45
The greatest common divisor of numbers 408, 297, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 297, 45 is 3.

FAQs on GCD of 408, 297, 45 Calculator

1. What is the GCD of 408, 297, 45?

GCD of given numbers 408, 297, 45 is 3

2. How to calculate the greatest common divisor of 408, 297, 45?

We can find the highest common divisor of 408, 297, 45 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, 297, 45 i.e 3.

3. How can I use the GCD of 408, 297, 45Calculator?

Out the numbers 408, 297, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.