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, 896, 18, 386 i.e. 2 largest integer that divides all the numbers equally.
GCD of 844, 896, 18, 386 is 2
GCD(844, 896, 18, 386) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 844, 896, 18, 386 is 2
GCD(844, 896, 18, 386) = 2
Given Input numbers are 844, 896, 18, 386
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 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 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 844, 896, 18, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 896, 18, 386 is 2.
Therefore, GCD of numbers 844, 896, 18, 386 is 2
Given Input Data is 844, 896, 18, 386
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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 386 is 2 x 193
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(844, 896) = 189056
GCD(844, 896) = ( 844 x 896 ) / 189056
GCD(844, 896) = 756224 / 189056
GCD(844, 896) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 18) = 36
GCD(4, 18) = ( 4 x 18 ) / 36
GCD(4, 18) = 72 / 36
GCD(4, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
GCD(2, 386) = 772 / 386
GCD(2, 386) = 2
GCD of 844, 896, 18, 386 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 844, 896, 18, 386?
GCD of 844, 896, 18, 386 is 2
2. Where do I get the detailed procedure to find GCD of 844, 896, 18, 386?
You can find a detailed procedure to find GCD of 844, 896, 18, 386 on our page.
3. How to find GCD of 844, 896, 18, 386 on a calculator?
You can find the GCD of 844, 896, 18, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.