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, 448, 31, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 448, 31, 626 is 1
GCD(317, 448, 31, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 448, 31, 626 is 1
GCD(317, 448, 31, 626) = 1
Given Input numbers are 317, 448, 31, 626
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 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 317, 448, 31, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 448, 31, 626 is 1.
Therefore, GCD of numbers 317, 448, 31, 626 is 1
Given Input Data is 317, 448, 31, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 31 is 31
Prime Factorization of 626 is 2 x 313
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, 448) = 142016
GCD(317, 448) = ( 317 x 448 ) / 142016
GCD(317, 448) = 142016 / 142016
GCD(317, 448) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 317, 448, 31, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 448, 31, 626?
GCD of 317, 448, 31, 626 is 1
2. Where do I get the detailed procedure to find GCD of 317, 448, 31, 626?
You can find a detailed procedure to find GCD of 317, 448, 31, 626 on our page.
3. How to find GCD of 317, 448, 31, 626 on a calculator?
You can find the GCD of 317, 448, 31, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.