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 816, 986, 104, 748 i.e. 2 largest integer that divides all the numbers equally.
GCD of 816, 986, 104, 748 is 2
GCD(816, 986, 104, 748) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 986, 104, 748 is 2
GCD(816, 986, 104, 748) = 2
Given Input numbers are 816, 986, 104, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 816, 986, 104, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 986, 104, 748 is 2.
Therefore, GCD of numbers 816, 986, 104, 748 is 2
Given Input Data is 816, 986, 104, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 748 is 2 x 2 x 11 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(816, 986) = 23664
GCD(816, 986) = ( 816 x 986 ) / 23664
GCD(816, 986) = 804576 / 23664
GCD(816, 986) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 104) = 1768
GCD(34, 104) = ( 34 x 104 ) / 1768
GCD(34, 104) = 3536 / 1768
GCD(34, 104) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
GCD(2, 748) = 1496 / 748
GCD(2, 748) = 2
GCD of 816, 986, 104, 748 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 986, 104, 748?
GCD of 816, 986, 104, 748 is 2
2. Where do I get the detailed procedure to find GCD of 816, 986, 104, 748?
You can find a detailed procedure to find GCD of 816, 986, 104, 748 on our page.
3. How to find GCD of 816, 986, 104, 748 on a calculator?
You can find the GCD of 816, 986, 104, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.