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 434, 250, 333, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 250, 333, 259 is 1
GCD(434, 250, 333, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 250, 333, 259 is 1
GCD(434, 250, 333, 259) = 1
Given Input numbers are 434, 250, 333, 259
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 434, 250, 333, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 250, 333, 259 is 1.
Therefore, GCD of numbers 434, 250, 333, 259 is 1
Given Input Data is 434, 250, 333, 259
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 259 is 7 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(434, 250) = 54250
GCD(434, 250) = ( 434 x 250 ) / 54250
GCD(434, 250) = 108500 / 54250
GCD(434, 250) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 333) = 666
GCD(2, 333) = ( 2 x 333 ) / 666
GCD(2, 333) = 666 / 666
GCD(2, 333) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 434, 250, 333, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 250, 333, 259?
GCD of 434, 250, 333, 259 is 1
2. Where do I get the detailed procedure to find GCD of 434, 250, 333, 259?
You can find a detailed procedure to find GCD of 434, 250, 333, 259 on our page.
3. How to find GCD of 434, 250, 333, 259 on a calculator?
You can find the GCD of 434, 250, 333, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.