Where do I get the detailed procedure to find GCD of 272, 216, 968?

You can find a detailed procedure to find GCD of 272, 216, 968 on our page.

How to find GCD of 272, 216, 968 on a calculator?

You can find the GCD of 272, 216, 968 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 272, 216, 968 Calculator

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

Online GCD Calculator is useful to find the GCD of 272, 216, 968 quickly. Get the easiest ways to solve the greatest common divisor of 272, 216, 968 i.e 8 in different methods as follows.

How to Find GCD of Numbers 272, 216, 968 with Factoring?

Given Input numbers are 272, 216, 968

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (272, 216, 968) = 8.

Find GCD of 272, 216, 968 using Prime Factorization

Given numbers are 272, 216, 968

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

The highest common occurrence is 2³

Therefore, GCD of 272, 216, 968 is 8.

Steps to Calculate GCD of 272, 216, 968 using LCM Formula

Given numbers are 272, 216, 968

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

Apply this formula for all numbers.

Step1:

LCM(272, 216) = 7344

GCD(272, 216) = ( 272 x 216 ) / 7344

= 272 / 216

= 272

Step2:

LCM(8, 968) = 968

GCD(8, 968) = ( 8 x 968 ) / 968

= 8 / 968

= 8

So, Greatest Common Divisor of 272, 216, 968 is 8

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 272, 216, 968

Given numbers are 272, 216, 968
The greatest common divisor of numbers 272, 216, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 216, 968 is 8.

FAQs on GCD of 272, 216, 968 Calculator

1. What is the GCD of 272, 216, 968?

GCD of given numbers 272, 216, 968 is 8

2. How to calculate the greatest common divisor of 272, 216, 968?

We can find the highest common divisor of 272, 216, 968 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 272, 216, 968 i.e 8.

3. How can I use the GCD of 272, 216, 968Calculator?

Out the numbers 272, 216, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.