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 99, 108, 166, 790 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 108, 166, 790 is 1
GCD(99, 108, 166, 790) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 108, 166, 790 is 1
GCD(99, 108, 166, 790) = 1
Given Input numbers are 99, 108, 166, 790
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Greatest Common Divisior
We found the divisors of 99, 108, 166, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 108, 166, 790 is 1.
Therefore, GCD of numbers 99, 108, 166, 790 is 1
Given Input Data is 99, 108, 166, 790
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 166 is 2 x 83
Prime Factorization of 790 is 2 x 5 x 79
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(99, 108) = 1188
GCD(99, 108) = ( 99 x 108 ) / 1188
GCD(99, 108) = 10692 / 1188
GCD(99, 108) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 166) = 1494
GCD(9, 166) = ( 9 x 166 ) / 1494
GCD(9, 166) = 1494 / 1494
GCD(9, 166) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
GCD of 99, 108, 166, 790 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 108, 166, 790?
GCD of 99, 108, 166, 790 is 1
2. Where do I get the detailed procedure to find GCD of 99, 108, 166, 790?
You can find a detailed procedure to find GCD of 99, 108, 166, 790 on our page.
3. How to find GCD of 99, 108, 166, 790 on a calculator?
You can find the GCD of 99, 108, 166, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.