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 984, 162, 283, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 162, 283, 730 is 1
GCD(984, 162, 283, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 162, 283, 730 is 1
GCD(984, 162, 283, 730) = 1
Given Input numbers are 984, 162, 283, 730
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 984, 162, 283, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 162, 283, 730 is 1.
Therefore, GCD of numbers 984, 162, 283, 730 is 1
Given Input Data is 984, 162, 283, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 283 is 283
Prime Factorization of 730 is 2 x 5 x 73
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(984, 162) = 26568
GCD(984, 162) = ( 984 x 162 ) / 26568
GCD(984, 162) = 159408 / 26568
GCD(984, 162) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 283) = 1698
GCD(6, 283) = ( 6 x 283 ) / 1698
GCD(6, 283) = 1698 / 1698
GCD(6, 283) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 984, 162, 283, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 162, 283, 730?
GCD of 984, 162, 283, 730 is 1
2. Where do I get the detailed procedure to find GCD of 984, 162, 283, 730?
You can find a detailed procedure to find GCD of 984, 162, 283, 730 on our page.
3. How to find GCD of 984, 162, 283, 730 on a calculator?
You can find the GCD of 984, 162, 283, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.