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 366, 220, 91, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 220, 91, 231 is 1
GCD(366, 220, 91, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 220, 91, 231 is 1
GCD(366, 220, 91, 231) = 1
Given Input numbers are 366, 220, 91, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 366, 220, 91, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 220, 91, 231 is 1.
Therefore, GCD of numbers 366, 220, 91, 231 is 1
Given Input Data is 366, 220, 91, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 91 is 7 x 13
Prime Factorization of 231 is 3 x 7 x 11
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(366, 220) = 40260
GCD(366, 220) = ( 366 x 220 ) / 40260
GCD(366, 220) = 80520 / 40260
GCD(366, 220) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 366, 220, 91, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 220, 91, 231?
GCD of 366, 220, 91, 231 is 1
2. Where do I get the detailed procedure to find GCD of 366, 220, 91, 231?
You can find a detailed procedure to find GCD of 366, 220, 91, 231 on our page.
3. How to find GCD of 366, 220, 91, 231 on a calculator?
You can find the GCD of 366, 220, 91, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.