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 836, 822, 896, 918 i.e. 2 largest integer that divides all the numbers equally.
GCD of 836, 822, 896, 918 is 2
GCD(836, 822, 896, 918) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 822, 896, 918 is 2
GCD(836, 822, 896, 918) = 2
Given Input numbers are 836, 822, 896, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 836, 822, 896, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 822, 896, 918 is 2.
Therefore, GCD of numbers 836, 822, 896, 918 is 2
Given Input Data is 836, 822, 896, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(836, 822) = 343596
GCD(836, 822) = ( 836 x 822 ) / 343596
GCD(836, 822) = 687192 / 343596
GCD(836, 822) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 896) = 896
GCD(2, 896) = ( 2 x 896 ) / 896
GCD(2, 896) = 1792 / 896
GCD(2, 896) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
GCD(2, 918) = 1836 / 918
GCD(2, 918) = 2
GCD of 836, 822, 896, 918 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 822, 896, 918?
GCD of 836, 822, 896, 918 is 2
2. Where do I get the detailed procedure to find GCD of 836, 822, 896, 918?
You can find a detailed procedure to find GCD of 836, 822, 896, 918 on our page.
3. How to find GCD of 836, 822, 896, 918 on a calculator?
You can find the GCD of 836, 822, 896, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.