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 996, 888, 24, 290 i.e. 2 largest integer that divides all the numbers equally.
GCD of 996, 888, 24, 290 is 2
GCD(996, 888, 24, 290) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 888, 24, 290 is 2
GCD(996, 888, 24, 290) = 2
Given Input numbers are 996, 888, 24, 290
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 996, 888, 24, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 888, 24, 290 is 2.
Therefore, GCD of numbers 996, 888, 24, 290 is 2
Given Input Data is 996, 888, 24, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 290 is 2 x 5 x 29
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(996, 888) = 73704
GCD(996, 888) = ( 996 x 888 ) / 73704
GCD(996, 888) = 884448 / 73704
GCD(996, 888) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 24) = 24
GCD(12, 24) = ( 12 x 24 ) / 24
GCD(12, 24) = 288 / 24
GCD(12, 24) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 290) = 1740
GCD(12, 290) = ( 12 x 290 ) / 1740
GCD(12, 290) = 3480 / 1740
GCD(12, 290) = 2
GCD of 996, 888, 24, 290 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 888, 24, 290?
GCD of 996, 888, 24, 290 is 2
2. Where do I get the detailed procedure to find GCD of 996, 888, 24, 290?
You can find a detailed procedure to find GCD of 996, 888, 24, 290 on our page.
3. How to find GCD of 996, 888, 24, 290 on a calculator?
You can find the GCD of 996, 888, 24, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.