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 396, 680, 16, 884 i.e. 4 largest integer that divides all the numbers equally.
GCD of 396, 680, 16, 884 is 4
GCD(396, 680, 16, 884) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 680, 16, 884 is 4
GCD(396, 680, 16, 884) = 4
Given Input numbers are 396, 680, 16, 884
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 396, 680, 16, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 680, 16, 884 is 4.
Therefore, GCD of numbers 396, 680, 16, 884 is 4
Given Input Data is 396, 680, 16, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 884 is 2 x 2 x 13 x 17
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(396, 680) = 67320
GCD(396, 680) = ( 396 x 680 ) / 67320
GCD(396, 680) = 269280 / 67320
GCD(396, 680) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 16) = 16
GCD(4, 16) = ( 4 x 16 ) / 16
GCD(4, 16) = 64 / 16
GCD(4, 16) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 884) = 884
GCD(4, 884) = ( 4 x 884 ) / 884
GCD(4, 884) = 3536 / 884
GCD(4, 884) = 4
GCD of 396, 680, 16, 884 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 680, 16, 884?
GCD of 396, 680, 16, 884 is 4
2. Where do I get the detailed procedure to find GCD of 396, 680, 16, 884?
You can find a detailed procedure to find GCD of 396, 680, 16, 884 on our page.
3. How to find GCD of 396, 680, 16, 884 on a calculator?
You can find the GCD of 396, 680, 16, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.