Where do I get the detailed procedure to find GCD of 456, 216, 273?

You can find a detailed procedure to find GCD of 456, 216, 273 on our page.

How to find GCD of 456, 216, 273 on a calculator?

You can find the GCD of 456, 216, 273 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 456, 216, 273 Calculator

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

Online GCD Calculator is useful to find the GCD of 456, 216, 273 quickly. Get the easiest ways to solve the greatest common divisor of 456, 216, 273 i.e 3 in different methods as follows.

How to Find GCD of Numbers 456, 216, 273 with Factoring?

Given Input numbers are 456, 216, 273

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

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

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (456, 216, 273) = 3.

Find GCD of 456, 216, 273 using Prime Factorization

Given numbers are 456, 216, 273

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 456, 216, 273 is 3.

Steps to Calculate GCD of 456, 216, 273 using LCM Formula

Given numbers are 456, 216, 273

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

Apply this formula for all numbers.

Step1:

LCM(456, 216) = 4104

GCD(456, 216) = ( 456 x 216 ) / 4104

= 456 / 216

= 456

Step2:

LCM(24, 273) = 2184

GCD(24, 273) = ( 24 x 273 ) / 2184

= 24 / 273

= 24

So, Greatest Common Divisor of 456, 216, 273 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 456, 216, 273

Given numbers are 456, 216, 273
The greatest common divisor of numbers 456, 216, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 216, 273 is 3.

FAQs on GCD of 456, 216, 273 Calculator

1. What is the GCD of 456, 216, 273?

GCD of given numbers 456, 216, 273 is 3

2. How to calculate the greatest common divisor of 456, 216, 273?

We can find the highest common divisor of 456, 216, 273 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 456, 216, 273 i.e 3.

3. How can I use the GCD of 456, 216, 273Calculator?

Out the numbers 456, 216, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.