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, 417, 661, 488 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 417, 661, 488 is 1
GCD(317, 417, 661, 488) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 417, 661, 488 is 1
GCD(317, 417, 661, 488) = 1
Given Input numbers are 317, 417, 661, 488
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 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 317, 417, 661, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 417, 661, 488 is 1.
Therefore, GCD of numbers 317, 417, 661, 488 is 1
Given Input Data is 317, 417, 661, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 417 is 3 x 139
Prime Factorization of 661 is 661
Prime Factorization of 488 is 2 x 2 x 2 x 61
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, 417) = 132189
GCD(317, 417) = ( 317 x 417 ) / 132189
GCD(317, 417) = 132189 / 132189
GCD(317, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
GCD of 317, 417, 661, 488 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 417, 661, 488?
GCD of 317, 417, 661, 488 is 1
2. Where do I get the detailed procedure to find GCD of 317, 417, 661, 488?
You can find a detailed procedure to find GCD of 317, 417, 661, 488 on our page.
3. How to find GCD of 317, 417, 661, 488 on a calculator?
You can find the GCD of 317, 417, 661, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.