GCD of 844, 169, 871, 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 844, 169, 871, 216 i.e. 1 largest integer that divides all the numbers equally.

GCD of 844, 169, 871, 216 is 1

GCD(844, 169, 871, 216) = 1

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

GCD of

GCD of numbers 844, 169, 871, 216 is 1

GCD(844, 169, 871, 216) = 1

GCD of 844,169,871,216 Calculator

GCDof 844,169,871,216 is 1

Given Input numbers are 844, 169, 871, 216

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

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 844, 169, 871, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 169, 871, 216 is 1.

Therefore, GCD of numbers 844, 169, 871, 216 is 1

Finding GCD of 844, 169, 871, 216 using Prime Factorization

Given Input Data is 844, 169, 871, 216

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 169 is 13 x 13

Prime Factorization of 871 is 13 x 67

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 844, 169, 871, 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(844, 169) = 142636

GCD(844, 169) = ( 844 x 169 ) / 142636

GCD(844, 169) = 142636 / 142636

GCD(844, 169) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 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 844, 169, 871, 216 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 844, 169, 871, 216

1. What is the GCD of 844, 169, 871, 216?

GCD of 844, 169, 871, 216 is 1


2. Where do I get the detailed procedure to find GCD of 844, 169, 871, 216?

You can find a detailed procedure to find GCD of 844, 169, 871, 216 on our page.


3. How to find GCD of 844, 169, 871, 216 on a calculator?

You can find the GCD of 844, 169, 871, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.