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 343, 317, 638, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 317, 638, 950 is 1
GCD(343, 317, 638, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 317, 638, 950 is 1
GCD(343, 317, 638, 950) = 1
Given Input numbers are 343, 317, 638, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 343, 317, 638, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 317, 638, 950 is 1.
Therefore, GCD of numbers 343, 317, 638, 950 is 1
Given Input Data is 343, 317, 638, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 317 is 317
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(343, 317) = 108731
GCD(343, 317) = ( 343 x 317 ) / 108731
GCD(343, 317) = 108731 / 108731
GCD(343, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 343, 317, 638, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 317, 638, 950?
GCD of 343, 317, 638, 950 is 1
2. Where do I get the detailed procedure to find GCD of 343, 317, 638, 950?
You can find a detailed procedure to find GCD of 343, 317, 638, 950 on our page.
3. How to find GCD of 343, 317, 638, 950 on a calculator?
You can find the GCD of 343, 317, 638, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.