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 330, 610, 16, 886 i.e. 2 largest integer that divides all the numbers equally.
GCD of 330, 610, 16, 886 is 2
GCD(330, 610, 16, 886) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 610, 16, 886 is 2
GCD(330, 610, 16, 886) = 2
Given Input numbers are 330, 610, 16, 886
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Greatest Common Divisior
We found the divisors of 330, 610, 16, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 610, 16, 886 is 2.
Therefore, GCD of numbers 330, 610, 16, 886 is 2
Given Input Data is 330, 610, 16, 886
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 886 is 2 x 443
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(330, 610) = 20130
GCD(330, 610) = ( 330 x 610 ) / 20130
GCD(330, 610) = 201300 / 20130
GCD(330, 610) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 16) = 80
GCD(10, 16) = ( 10 x 16 ) / 80
GCD(10, 16) = 160 / 80
GCD(10, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 886
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 886) = 886
GCD(2, 886) = ( 2 x 886 ) / 886
GCD(2, 886) = 1772 / 886
GCD(2, 886) = 2
GCD of 330, 610, 16, 886 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 610, 16, 886?
GCD of 330, 610, 16, 886 is 2
2. Where do I get the detailed procedure to find GCD of 330, 610, 16, 886?
You can find a detailed procedure to find GCD of 330, 610, 16, 886 on our page.
3. How to find GCD of 330, 610, 16, 886 on a calculator?
You can find the GCD of 330, 610, 16, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.