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 666, 105, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 666, 105, 116 is 1
GCD(666, 105, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 105, 116 is 1
GCD(666, 105, 116) = 1
Given Input numbers are 666, 105, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 666, 105, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 105, 116 is 1.
Therefore, GCD of numbers 666, 105, 116 is 1
Given Input Data is 666, 105, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 116 is 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
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(666, 105) = 23310
GCD(666, 105) = ( 666 x 105 ) / 23310
GCD(666, 105) = 69930 / 23310
GCD(666, 105) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 116) = 348
GCD(3, 116) = ( 3 x 116 ) / 348
GCD(3, 116) = 348 / 348
GCD(3, 116) = 1
GCD of 666, 105, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 105, 116?
GCD of 666, 105, 116 is 1
2. Where do I get the detailed procedure to find GCD of 666, 105, 116?
You can find a detailed procedure to find GCD of 666, 105, 116 on our page.
3. How to find GCD of 666, 105, 116 on a calculator?
You can find the GCD of 666, 105, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.