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 165, 732, 382, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 732, 382, 504 is 1
GCD(165, 732, 382, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 732, 382, 504 is 1
GCD(165, 732, 382, 504) = 1
Given Input numbers are 165, 732, 382, 504
To find the GCD of numbers using factoring list out all the divisors of each number
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 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 165, 732, 382, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 732, 382, 504 is 1.
Therefore, GCD of numbers 165, 732, 382, 504 is 1
Given Input Data is 165, 732, 382, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 382 is 2 x 191
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
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(165, 732) = 40260
GCD(165, 732) = ( 165 x 732 ) / 40260
GCD(165, 732) = 120780 / 40260
GCD(165, 732) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 382) = 1146
GCD(3, 382) = ( 3 x 382 ) / 1146
GCD(3, 382) = 1146 / 1146
GCD(3, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 165, 732, 382, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 732, 382, 504?
GCD of 165, 732, 382, 504 is 1
2. Where do I get the detailed procedure to find GCD of 165, 732, 382, 504?
You can find a detailed procedure to find GCD of 165, 732, 382, 504 on our page.
3. How to find GCD of 165, 732, 382, 504 on a calculator?
You can find the GCD of 165, 732, 382, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.