Where do I get the detailed procedure to find GCD of 378, 216, 45?

You can find a detailed procedure to find GCD of 378, 216, 45 on our page.

How to find GCD of 378, 216, 45 on a calculator?

You can find the GCD of 378, 216, 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 378, 216, 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 378, 216, 45 quickly. Get the easiest ways to solve the greatest common divisor of 378, 216, 45 i.e 9 in different methods as follows.

How to Find GCD of Numbers 378, 216, 45 with Factoring?

Given Input numbers are 378, 216, 45

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 (378, 216, 45) = 9.

Find GCD of 378, 216, 45 using Prime Factorization

Given numbers are 378, 216, 45

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 3²

Therefore, GCD of 378, 216, 45 is 9.

Steps to Calculate GCD of 378, 216, 45 using LCM Formula

Given numbers are 378, 216, 45

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

Apply this formula for all numbers.

Step1:

LCM(378, 216) = 1512

GCD(378, 216) = ( 378 x 216 ) / 1512

= 378 / 216

= 378

Step2:

LCM(54, 45) = 270

GCD(54, 45) = ( 54 x 45 ) / 270

= 54 / 45

= 54

So, Greatest Common Divisor of 378, 216, 45 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 378, 216, 45

Given numbers are 378, 216, 45
The greatest common divisor of numbers 378, 216, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 216, 45 is 9.

FAQs on GCD of 378, 216, 45 Calculator

1. What is the GCD of 378, 216, 45?

GCD of given numbers 378, 216, 45 is 9

2. How to calculate the greatest common divisor of 378, 216, 45?

We can find the highest common divisor of 378, 216, 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 378, 216, 45 i.e 9.

3. How can I use the GCD of 378, 216, 45Calculator?

Out the numbers 378, 216, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.