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 16, 116, 704, 982 i.e. 2 largest integer that divides all the numbers equally.
GCD of 16, 116, 704, 982 is 2
GCD(16, 116, 704, 982) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 116, 704, 982 is 2
GCD(16, 116, 704, 982) = 2
Given Input numbers are 16, 116, 704, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 16, 116, 704, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 116, 704, 982 is 2.
Therefore, GCD of numbers 16, 116, 704, 982 is 2
Given Input Data is 16, 116, 704, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 982 is 2 x 491
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(16, 116) = 464
GCD(16, 116) = ( 16 x 116 ) / 464
GCD(16, 116) = 1856 / 464
GCD(16, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 704) = 704
GCD(4, 704) = ( 4 x 704 ) / 704
GCD(4, 704) = 2816 / 704
GCD(4, 704) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 982) = 1964
GCD(4, 982) = ( 4 x 982 ) / 1964
GCD(4, 982) = 3928 / 1964
GCD(4, 982) = 2
GCD of 16, 116, 704, 982 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 116, 704, 982?
GCD of 16, 116, 704, 982 is 2
2. Where do I get the detailed procedure to find GCD of 16, 116, 704, 982?
You can find a detailed procedure to find GCD of 16, 116, 704, 982 on our page.
3. How to find GCD of 16, 116, 704, 982 on a calculator?
You can find the GCD of 16, 116, 704, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.