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, 394, 624, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 394, 624, 407 is 1
GCD(317, 394, 624, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 394, 624, 407 is 1
GCD(317, 394, 624, 407) = 1
Given Input numbers are 317, 394, 624, 407
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 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 317, 394, 624, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 394, 624, 407 is 1.
Therefore, GCD of numbers 317, 394, 624, 407 is 1
Given Input Data is 317, 394, 624, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 394 is 2 x 197
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 407 is 11 x 37
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, 394) = 124898
GCD(317, 394) = ( 317 x 394 ) / 124898
GCD(317, 394) = 124898 / 124898
GCD(317, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
GCD of 317, 394, 624, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 394, 624, 407?
GCD of 317, 394, 624, 407 is 1
2. Where do I get the detailed procedure to find GCD of 317, 394, 624, 407?
You can find a detailed procedure to find GCD of 317, 394, 624, 407 on our page.
3. How to find GCD of 317, 394, 624, 407 on a calculator?
You can find the GCD of 317, 394, 624, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.