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 996, 209, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 209, 166 is 1
GCD(996, 209, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 209, 166 is 1
GCD(996, 209, 166) = 1
Given Input numbers are 996, 209, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 996, 209, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 209, 166 is 1.
Therefore, GCD of numbers 996, 209, 166 is 1
Given Input Data is 996, 209, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 209 is 11 x 19
Prime Factorization of 166 is 2 x 83
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(996, 209) = 208164
GCD(996, 209) = ( 996 x 209 ) / 208164
GCD(996, 209) = 208164 / 208164
GCD(996, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 996, 209, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 209, 166?
GCD of 996, 209, 166 is 1
2. Where do I get the detailed procedure to find GCD of 996, 209, 166?
You can find a detailed procedure to find GCD of 996, 209, 166 on our page.
3. How to find GCD of 996, 209, 166 on a calculator?
You can find the GCD of 996, 209, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.