Where do I get the detailed procedure to find GCD of 891, 216, 426?

You can find a detailed procedure to find GCD of 891, 216, 426 on our page.

How to find GCD of 891, 216, 426 on a calculator?

You can find the GCD of 891, 216, 426 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 891, 216, 426 Calculator

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

Online GCD Calculator is useful to find the GCD of 891, 216, 426 quickly. Get the easiest ways to solve the greatest common divisor of 891, 216, 426 i.e 3 in different methods as follows.

How to Find GCD of Numbers 891, 216, 426 with Factoring?

Given Input numbers are 891, 216, 426

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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 426 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (891, 216, 426) = 3.

Find GCD of 891, 216, 426 using Prime Factorization

Given numbers are 891, 216, 426

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 891, 216, 426 is 3.

Steps to Calculate GCD of 891, 216, 426 using LCM Formula

Given numbers are 891, 216, 426

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

Apply this formula for all numbers.

Step1:

LCM(891, 216) = 7128

GCD(891, 216) = ( 891 x 216 ) / 7128

= 891 / 216

= 891

Step2:

LCM(27, 426) = 3834

GCD(27, 426) = ( 27 x 426 ) / 3834

= 27 / 426

= 27

So, Greatest Common Divisor of 891, 216, 426 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 891, 216, 426

Given numbers are 891, 216, 426
The greatest common divisor of numbers 891, 216, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 216, 426 is 3.

FAQs on GCD of 891, 216, 426 Calculator

1. What is the GCD of 891, 216, 426?

GCD of given numbers 891, 216, 426 is 3

2. How to calculate the greatest common divisor of 891, 216, 426?

We can find the highest common divisor of 891, 216, 426 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 891, 216, 426 i.e 3.

3. How can I use the GCD of 891, 216, 426Calculator?

Out the numbers 891, 216, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.