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, 928, 52, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 928, 52, 165 is 1
GCD(184, 928, 52, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 928, 52, 165 is 1
GCD(184, 928, 52, 165) = 1
Given Input numbers are 184, 928, 52, 165
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 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 184, 928, 52, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 928, 52, 165 is 1.
Therefore, GCD of numbers 184, 928, 52, 165 is 1
Given Input Data is 184, 928, 52, 165
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 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 165 is 3 x 5 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(184, 928) = 21344
GCD(184, 928) = ( 184 x 928 ) / 21344
GCD(184, 928) = 170752 / 21344
GCD(184, 928) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 52) = 104
GCD(8, 52) = ( 8 x 52 ) / 104
GCD(8, 52) = 416 / 104
GCD(8, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 165) = 660
GCD(4, 165) = ( 4 x 165 ) / 660
GCD(4, 165) = 660 / 660
GCD(4, 165) = 1
GCD of 184, 928, 52, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 928, 52, 165?
GCD of 184, 928, 52, 165 is 1
2. Where do I get the detailed procedure to find GCD of 184, 928, 52, 165?
You can find a detailed procedure to find GCD of 184, 928, 52, 165 on our page.
3. How to find GCD of 184, 928, 52, 165 on a calculator?
You can find the GCD of 184, 928, 52, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.