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 323, 182, 153, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 182, 153, 984 is 1
GCD(323, 182, 153, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 182, 153, 984 is 1
GCD(323, 182, 153, 984) = 1
Given Input numbers are 323, 182, 153, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 323, 182, 153, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 182, 153, 984 is 1.
Therefore, GCD of numbers 323, 182, 153, 984 is 1
Given Input Data is 323, 182, 153, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(323, 182) = 58786
GCD(323, 182) = ( 323 x 182 ) / 58786
GCD(323, 182) = 58786 / 58786
GCD(323, 182) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 323, 182, 153, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 182, 153, 984?
GCD of 323, 182, 153, 984 is 1
2. Where do I get the detailed procedure to find GCD of 323, 182, 153, 984?
You can find a detailed procedure to find GCD of 323, 182, 153, 984 on our page.
3. How to find GCD of 323, 182, 153, 984 on a calculator?
You can find the GCD of 323, 182, 153, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.