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 184, 720, 66, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 720, 66, 185 is 1
GCD(184, 720, 66, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 720, 66, 185 is 1
GCD(184, 720, 66, 185) = 1
Given Input numbers are 184, 720, 66, 185
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 184, 720, 66, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 720, 66, 185 is 1.
Therefore, GCD of numbers 184, 720, 66, 185 is 1
Given Input Data is 184, 720, 66, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 185 is 5 x 37
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(184, 720) = 16560
GCD(184, 720) = ( 184 x 720 ) / 16560
GCD(184, 720) = 132480 / 16560
GCD(184, 720) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 66) = 264
GCD(8, 66) = ( 8 x 66 ) / 264
GCD(8, 66) = 528 / 264
GCD(8, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 185) = 370
GCD(2, 185) = ( 2 x 185 ) / 370
GCD(2, 185) = 370 / 370
GCD(2, 185) = 1
GCD of 184, 720, 66, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 720, 66, 185?
GCD of 184, 720, 66, 185 is 1
2. Where do I get the detailed procedure to find GCD of 184, 720, 66, 185?
You can find a detailed procedure to find GCD of 184, 720, 66, 185 on our page.
3. How to find GCD of 184, 720, 66, 185 on a calculator?
You can find the GCD of 184, 720, 66, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.