Where do I get the detailed procedure to find GCD of 612, 108, 414?

You can find a detailed procedure to find GCD of 612, 108, 414 on our page.

How to find GCD of 612, 108, 414 on a calculator?

You can find the GCD of 612, 108, 414 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 612, 108, 414 Calculator

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

Online GCD Calculator is useful to find the GCD of 612, 108, 414 quickly. Get the easiest ways to solve the greatest common divisor of 612, 108, 414 i.e 18 in different methods as follows.

How to Find GCD of Numbers 612, 108, 414 with Factoring?

Given Input numbers are 612, 108, 414

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (612, 108, 414) = 18.

Find GCD of 612, 108, 414 using Prime Factorization

Given numbers are 612, 108, 414

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 612, 108, 414 is 18.

Steps to Calculate GCD of 612, 108, 414 using LCM Formula

Given numbers are 612, 108, 414

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

Apply this formula for all numbers.

Step1:

LCM(612, 108) = 1836

GCD(612, 108) = ( 612 x 108 ) / 1836

= 612 / 108

= 612

Step2:

LCM(36, 414) = 828

GCD(36, 414) = ( 36 x 414 ) / 828

= 36 / 414

= 36

So, Greatest Common Divisor of 612, 108, 414 is 18

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 612, 108, 414

Given numbers are 612, 108, 414
The greatest common divisor of numbers 612, 108, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 108, 414 is 18.

FAQs on GCD of 612, 108, 414 Calculator

1. What is the GCD of 612, 108, 414?

GCD of given numbers 612, 108, 414 is 18

2. How to calculate the greatest common divisor of 612, 108, 414?

We can find the highest common divisor of 612, 108, 414 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 612, 108, 414 i.e 18.

3. How can I use the GCD of 612, 108, 414Calculator?

Out the numbers 612, 108, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.