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 numbers 844, 169, 871, 216 is 1
GCD(844, 169, 871, 216) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.