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, 259, 367, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 259, 367, 938 is 1
GCD(343, 259, 367, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 259, 367, 938 is 1
GCD(343, 259, 367, 938) = 1
Given Input numbers are 343, 259, 367, 938
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 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 343, 259, 367, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 259, 367, 938 is 1.
Therefore, GCD of numbers 343, 259, 367, 938 is 1
Given Input Data is 343, 259, 367, 938
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 259 is 7 x 37
Prime Factorization of 367 is 367
Prime Factorization of 938 is 2 x 7 x 67
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, 259) = 12691
GCD(343, 259) = ( 343 x 259 ) / 12691
GCD(343, 259) = 88837 / 12691
GCD(343, 259) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 367) = 2569
GCD(7, 367) = ( 7 x 367 ) / 2569
GCD(7, 367) = 2569 / 2569
GCD(7, 367) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 343, 259, 367, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 259, 367, 938?
GCD of 343, 259, 367, 938 is 1
2. Where do I get the detailed procedure to find GCD of 343, 259, 367, 938?
You can find a detailed procedure to find GCD of 343, 259, 367, 938 on our page.
3. How to find GCD of 343, 259, 367, 938 on a calculator?
You can find the GCD of 343, 259, 367, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.