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, 844, 428, 518 i.e. 2 largest integer that divides all the numbers equally.
GCD of 836, 844, 428, 518 is 2
GCD(836, 844, 428, 518) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 844, 428, 518 is 2
GCD(836, 844, 428, 518) = 2
Given Input numbers are 836, 844, 428, 518
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 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 836, 844, 428, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 844, 428, 518 is 2.
Therefore, GCD of numbers 836, 844, 428, 518 is 2
Given Input Data is 836, 844, 428, 518
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 844 is 2 x 2 x 211
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 518 is 2 x 7 x 37
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, 844) = 176396
GCD(836, 844) = ( 836 x 844 ) / 176396
GCD(836, 844) = 705584 / 176396
GCD(836, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 428) = 428
GCD(4, 428) = ( 4 x 428 ) / 428
GCD(4, 428) = 1712 / 428
GCD(4, 428) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 518) = 1036
GCD(4, 518) = ( 4 x 518 ) / 1036
GCD(4, 518) = 2072 / 1036
GCD(4, 518) = 2
GCD of 836, 844, 428, 518 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 844, 428, 518?
GCD of 836, 844, 428, 518 is 2
2. Where do I get the detailed procedure to find GCD of 836, 844, 428, 518?
You can find a detailed procedure to find GCD of 836, 844, 428, 518 on our page.
3. How to find GCD of 836, 844, 428, 518 on a calculator?
You can find the GCD of 836, 844, 428, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.