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 250, 434, 518 i.e. 2 largest integer that divides all the numbers equally.
GCD of 250, 434, 518 is 2
GCD(250, 434, 518) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 434, 518 is 2
GCD(250, 434, 518) = 2
Given Input numbers are 250, 434, 518
To find the GCD of numbers using factoring list out all the divisors of each number
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 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 250, 434, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 434, 518 is 2.
Therefore, GCD of numbers 250, 434, 518 is 2
Given Input Data is 250, 434, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 518 is 2 x 7 x 37
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(250, 434) = 54250
GCD(250, 434) = ( 250 x 434 ) / 54250
GCD(250, 434) = 108500 / 54250
GCD(250, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
GCD(2, 518) = 1036 / 518
GCD(2, 518) = 2
GCD of 250, 434, 518 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 434, 518?
GCD of 250, 434, 518 is 2
2. Where do I get the detailed procedure to find GCD of 250, 434, 518?
You can find a detailed procedure to find GCD of 250, 434, 518 on our page.
3. How to find GCD of 250, 434, 518 on a calculator?
You can find the GCD of 250, 434, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.