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 909, 267, 73, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 267, 73, 166 is 1
GCD(909, 267, 73, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 267, 73, 166 is 1
GCD(909, 267, 73, 166) = 1
Given Input numbers are 909, 267, 73, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 909, 267, 73, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 267, 73, 166 is 1.
Therefore, GCD of numbers 909, 267, 73, 166 is 1
Given Input Data is 909, 267, 73, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 267 is 3 x 89
Prime Factorization of 73 is 73
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(909, 267) = 80901
GCD(909, 267) = ( 909 x 267 ) / 80901
GCD(909, 267) = 242703 / 80901
GCD(909, 267) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 1
Step3:
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 909, 267, 73, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 267, 73, 166?
GCD of 909, 267, 73, 166 is 1
2. Where do I get the detailed procedure to find GCD of 909, 267, 73, 166?
You can find a detailed procedure to find GCD of 909, 267, 73, 166 on our page.
3. How to find GCD of 909, 267, 73, 166 on a calculator?
You can find the GCD of 909, 267, 73, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.