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 317, 145, 787, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 145, 787, 117 is 1
GCD(317, 145, 787, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 145, 787, 117 is 1
GCD(317, 145, 787, 117) = 1
Given Input numbers are 317, 145, 787, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 317, 145, 787, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 145, 787, 117 is 1.
Therefore, GCD of numbers 317, 145, 787, 117 is 1
Given Input Data is 317, 145, 787, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 145 is 5 x 29
Prime Factorization of 787 is 787
Prime Factorization of 117 is 3 x 3 x 13
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(317, 145) = 45965
GCD(317, 145) = ( 317 x 145 ) / 45965
GCD(317, 145) = 45965 / 45965
GCD(317, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 317, 145, 787, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 145, 787, 117?
GCD of 317, 145, 787, 117 is 1
2. Where do I get the detailed procedure to find GCD of 317, 145, 787, 117?
You can find a detailed procedure to find GCD of 317, 145, 787, 117 on our page.
3. How to find GCD of 317, 145, 787, 117 on a calculator?
You can find the GCD of 317, 145, 787, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.