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 555, 574, 165, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 574, 165, 184 is 1
GCD(555, 574, 165, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 574, 165, 184 is 1
GCD(555, 574, 165, 184) = 1
Given Input numbers are 555, 574, 165, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 555, 574, 165, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 574, 165, 184 is 1.
Therefore, GCD of numbers 555, 574, 165, 184 is 1
Given Input Data is 555, 574, 165, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(555, 574) = 318570
GCD(555, 574) = ( 555 x 574 ) / 318570
GCD(555, 574) = 318570 / 318570
GCD(555, 574) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 555, 574, 165, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 574, 165, 184?
GCD of 555, 574, 165, 184 is 1
2. Where do I get the detailed procedure to find GCD of 555, 574, 165, 184?
You can find a detailed procedure to find GCD of 555, 574, 165, 184 on our page.
3. How to find GCD of 555, 574, 165, 184 on a calculator?
You can find the GCD of 555, 574, 165, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.