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 28, 902, 144, 866 i.e. 2 largest integer that divides all the numbers equally.
GCD of 28, 902, 144, 866 is 2
GCD(28, 902, 144, 866) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 902, 144, 866 is 2
GCD(28, 902, 144, 866) = 2
Given Input numbers are 28, 902, 144, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 28, 902, 144, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 902, 144, 866 is 2.
Therefore, GCD of numbers 28, 902, 144, 866 is 2
Given Input Data is 28, 902, 144, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 866 is 2 x 433
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(28, 902) = 12628
GCD(28, 902) = ( 28 x 902 ) / 12628
GCD(28, 902) = 25256 / 12628
GCD(28, 902) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
GCD(2, 144) = 288 / 144
GCD(2, 144) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 866) = 866
GCD(2, 866) = ( 2 x 866 ) / 866
GCD(2, 866) = 1732 / 866
GCD(2, 866) = 2
GCD of 28, 902, 144, 866 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 902, 144, 866?
GCD of 28, 902, 144, 866 is 2
2. Where do I get the detailed procedure to find GCD of 28, 902, 144, 866?
You can find a detailed procedure to find GCD of 28, 902, 144, 866 on our page.
3. How to find GCD of 28, 902, 144, 866 on a calculator?
You can find the GCD of 28, 902, 144, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.