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 11, 111, 266, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 111, 266, 433 is 1
GCD(11, 111, 266, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 111, 266, 433 is 1
GCD(11, 111, 266, 433) = 1
Given Input numbers are 11, 111, 266, 433
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 11, 111, 266, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 111, 266, 433 is 1.
Therefore, GCD of numbers 11, 111, 266, 433 is 1
Given Input Data is 11, 111, 266, 433
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 111 is 3 x 37
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 433 is 433
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(11, 111) = 1221
GCD(11, 111) = ( 11 x 111 ) / 1221
GCD(11, 111) = 1221 / 1221
GCD(11, 111) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 433) = 433
GCD(1, 433) = ( 1 x 433 ) / 433
GCD(1, 433) = 433 / 433
GCD(1, 433) = 1
GCD of 11, 111, 266, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 111, 266, 433?
GCD of 11, 111, 266, 433 is 1
2. Where do I get the detailed procedure to find GCD of 11, 111, 266, 433?
You can find a detailed procedure to find GCD of 11, 111, 266, 433 on our page.
3. How to find GCD of 11, 111, 266, 433 on a calculator?
You can find the GCD of 11, 111, 266, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.