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 660, 180, 92, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 180, 92, 229 is 1
GCD(660, 180, 92, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 180, 92, 229 is 1
GCD(660, 180, 92, 229) = 1
Given Input numbers are 660, 180, 92, 229
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 660, 180, 92, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 180, 92, 229 is 1.
Therefore, GCD of numbers 660, 180, 92, 229 is 1
Given Input Data is 660, 180, 92, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 229 is 229
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(660, 180) = 1980
GCD(660, 180) = ( 660 x 180 ) / 1980
GCD(660, 180) = 118800 / 1980
GCD(660, 180) = 60
Step2:
Here we consider the GCD from the above i.e. 60 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(60, 92) = 1380
GCD(60, 92) = ( 60 x 92 ) / 1380
GCD(60, 92) = 5520 / 1380
GCD(60, 92) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 229) = 916
GCD(4, 229) = ( 4 x 229 ) / 916
GCD(4, 229) = 916 / 916
GCD(4, 229) = 1
GCD of 660, 180, 92, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 180, 92, 229?
GCD of 660, 180, 92, 229 is 1
2. Where do I get the detailed procedure to find GCD of 660, 180, 92, 229?
You can find a detailed procedure to find GCD of 660, 180, 92, 229 on our page.
3. How to find GCD of 660, 180, 92, 229 on a calculator?
You can find the GCD of 660, 180, 92, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.