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 131, 996, 96, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 996, 96, 717 is 1
GCD(131, 996, 96, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 996, 96, 717 is 1
GCD(131, 996, 96, 717) = 1
Given Input numbers are 131, 996, 96, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 131, 996, 96, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 996, 96, 717 is 1.
Therefore, GCD of numbers 131, 996, 96, 717 is 1
Given Input Data is 131, 996, 96, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 717 is 3 x 239
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(131, 996) = 130476
GCD(131, 996) = ( 131 x 996 ) / 130476
GCD(131, 996) = 130476 / 130476
GCD(131, 996) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 131, 996, 96, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 996, 96, 717?
GCD of 131, 996, 96, 717 is 1
2. Where do I get the detailed procedure to find GCD of 131, 996, 96, 717?
You can find a detailed procedure to find GCD of 131, 996, 96, 717 on our page.
3. How to find GCD of 131, 996, 96, 717 on a calculator?
You can find the GCD of 131, 996, 96, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.