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, 288, 596, 146 i.e. 2 largest integer that divides all the numbers equally.
GCD of 984, 288, 596, 146 is 2
GCD(984, 288, 596, 146) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 288, 596, 146 is 2
GCD(984, 288, 596, 146) = 2
Given Input numbers are 984, 288, 596, 146
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 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 984, 288, 596, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 288, 596, 146 is 2.
Therefore, GCD of numbers 984, 288, 596, 146 is 2
Given Input Data is 984, 288, 596, 146
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 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 146 is 2 x 73
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 288) = 11808
GCD(984, 288) = ( 984 x 288 ) / 11808
GCD(984, 288) = 283392 / 11808
GCD(984, 288) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 596) = 3576
GCD(24, 596) = ( 24 x 596 ) / 3576
GCD(24, 596) = 14304 / 3576
GCD(24, 596) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 146) = 292
GCD(4, 146) = ( 4 x 146 ) / 292
GCD(4, 146) = 584 / 292
GCD(4, 146) = 2
GCD of 984, 288, 596, 146 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 288, 596, 146?
GCD of 984, 288, 596, 146 is 2
2. Where do I get the detailed procedure to find GCD of 984, 288, 596, 146?
You can find a detailed procedure to find GCD of 984, 288, 596, 146 on our page.
3. How to find GCD of 984, 288, 596, 146 on a calculator?
You can find the GCD of 984, 288, 596, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.