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 398, 214, 850, 990 i.e. 2 largest integer that divides all the numbers equally.
GCD of 398, 214, 850, 990 is 2
GCD(398, 214, 850, 990) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 214, 850, 990 is 2
GCD(398, 214, 850, 990) = 2
Given Input numbers are 398, 214, 850, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 398, 214, 850, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 214, 850, 990 is 2.
Therefore, GCD of numbers 398, 214, 850, 990 is 2
Given Input Data is 398, 214, 850, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 214 is 2 x 107
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
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(398, 214) = 42586
GCD(398, 214) = ( 398 x 214 ) / 42586
GCD(398, 214) = 85172 / 42586
GCD(398, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
GCD(2, 850) = 1700 / 850
GCD(2, 850) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
GCD(2, 990) = 1980 / 990
GCD(2, 990) = 2
GCD of 398, 214, 850, 990 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 214, 850, 990?
GCD of 398, 214, 850, 990 is 2
2. Where do I get the detailed procedure to find GCD of 398, 214, 850, 990?
You can find a detailed procedure to find GCD of 398, 214, 850, 990 on our page.
3. How to find GCD of 398, 214, 850, 990 on a calculator?
You can find the GCD of 398, 214, 850, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.