Where do I get the detailed procedure to find GCD of 912, 426, 468?

You can find a detailed procedure to find GCD of 912, 426, 468 on our page.

How to find GCD of 912, 426, 468 on a calculator?

You can find the GCD of 912, 426, 468 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 912, 426, 468 Calculator

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

Online GCD Calculator is useful to find the GCD of 912, 426, 468 quickly. Get the easiest ways to solve the greatest common divisor of 912, 426, 468 i.e 6 in different methods as follows.

How to Find GCD of Numbers 912, 426, 468 with Factoring?

Given Input numbers are 912, 426, 468

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (912, 426, 468) = 6.

Find GCD of 912, 426, 468 using Prime Factorization

Given numbers are 912, 426, 468

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 426 are 2 x 3 x 71

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 912, 426, 468 is 6.

Steps to Calculate GCD of 912, 426, 468 using LCM Formula

Given numbers are 912, 426, 468

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

Apply this formula for all numbers.

Step1:

LCM(912, 426) = 64752

GCD(912, 426) = ( 912 x 426 ) / 64752

= 912 / 426

= 912

Step2:

LCM(6, 468) = 468

GCD(6, 468) = ( 6 x 468 ) / 468

= 6 / 468

= 6

So, Greatest Common Divisor of 912, 426, 468 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 912, 426, 468

Given numbers are 912, 426, 468
The greatest common divisor of numbers 912, 426, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 426, 468 is 6.

FAQs on GCD of 912, 426, 468 Calculator

1. What is the GCD of 912, 426, 468?

GCD of given numbers 912, 426, 468 is 6

2. How to calculate the greatest common divisor of 912, 426, 468?

We can find the highest common divisor of 912, 426, 468 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 912, 426, 468 i.e 6.

3. How can I use the GCD of 912, 426, 468Calculator?

Out the numbers 912, 426, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.