GCD of 97, 567, 182, 216 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 97, 567, 182, 216 i.e. 1 largest integer that divides all the numbers equally.

GCD of 97, 567, 182, 216 is 1

GCD(97, 567, 182, 216) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 97, 567, 182, 216 is 1

GCD(97, 567, 182, 216) = 1

GCD of 97,567,182,216 Calculator

GCDof 97,567,182,216 is 1

Given Input numbers are 97, 567, 182, 216

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 97, 567, 182, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 567, 182, 216 is 1.

Therefore, GCD of numbers 97, 567, 182, 216 is 1

Finding GCD of 97, 567, 182, 216 using Prime Factorization

Given Input Data is 97, 567, 182, 216

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 97 is 97

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 97, 567, 182, 216 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(97, 567) = 54999

GCD(97, 567) = ( 97 x 567 ) / 54999

GCD(97, 567) = 54999 / 54999

GCD(97, 567) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 97, 567, 182, 216 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 97, 567, 182, 216

1. What is the GCD of 97, 567, 182, 216?

GCD of 97, 567, 182, 216 is 1


2. Where do I get the detailed procedure to find GCD of 97, 567, 182, 216?

You can find a detailed procedure to find GCD of 97, 567, 182, 216 on our page.


3. How to find GCD of 97, 567, 182, 216 on a calculator?

You can find the GCD of 97, 567, 182, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.