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 888, 609, 81, 249 i.e. 3 largest integer that divides all the numbers equally.
GCD of 888, 609, 81, 249 is 3
GCD(888, 609, 81, 249) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 609, 81, 249 is 3
GCD(888, 609, 81, 249) = 3
Given Input numbers are 888, 609, 81, 249
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 888, 609, 81, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 609, 81, 249 is 3.
Therefore, GCD of numbers 888, 609, 81, 249 is 3
Given Input Data is 888, 609, 81, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 249 is 3 x 83
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(888, 609) = 180264
GCD(888, 609) = ( 888 x 609 ) / 180264
GCD(888, 609) = 540792 / 180264
GCD(888, 609) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 81) = 81
GCD(3, 81) = ( 3 x 81 ) / 81
GCD(3, 81) = 243 / 81
GCD(3, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
GCD(3, 249) = 747 / 249
GCD(3, 249) = 3
GCD of 888, 609, 81, 249 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 609, 81, 249?
GCD of 888, 609, 81, 249 is 3
2. Where do I get the detailed procedure to find GCD of 888, 609, 81, 249?
You can find a detailed procedure to find GCD of 888, 609, 81, 249 on our page.
3. How to find GCD of 888, 609, 81, 249 on a calculator?
You can find the GCD of 888, 609, 81, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.