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 128, 317, 72, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 317, 72, 984 is 1
GCD(128, 317, 72, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 317, 72, 984 is 1
GCD(128, 317, 72, 984) = 1
Given Input numbers are 128, 317, 72, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 128, 317, 72, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 317, 72, 984 is 1.
Therefore, GCD of numbers 128, 317, 72, 984 is 1
Given Input Data is 128, 317, 72, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 317 is 317
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(128, 317) = 40576
GCD(128, 317) = ( 128 x 317 ) / 40576
GCD(128, 317) = 40576 / 40576
GCD(128, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 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 128, 317, 72, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 317, 72, 984?
GCD of 128, 317, 72, 984 is 1
2. Where do I get the detailed procedure to find GCD of 128, 317, 72, 984?
You can find a detailed procedure to find GCD of 128, 317, 72, 984 on our page.
3. How to find GCD of 128, 317, 72, 984 on a calculator?
You can find the GCD of 128, 317, 72, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.