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, 718, 404, 958 i.e. 2 largest integer that divides all the numbers equally.
GCD of 250, 718, 404, 958 is 2
GCD(250, 718, 404, 958) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 718, 404, 958 is 2
GCD(250, 718, 404, 958) = 2
Given Input numbers are 250, 718, 404, 958
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 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 250, 718, 404, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 718, 404, 958 is 2.
Therefore, GCD of numbers 250, 718, 404, 958 is 2
Given Input Data is 250, 718, 404, 958
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 718 is 2 x 359
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 958 is 2 x 479
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, 718) = 89750
GCD(250, 718) = ( 250 x 718 ) / 89750
GCD(250, 718) = 179500 / 89750
GCD(250, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
GCD(2, 404) = 808 / 404
GCD(2, 404) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
GCD(2, 958) = 1916 / 958
GCD(2, 958) = 2
GCD of 250, 718, 404, 958 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 718, 404, 958?
GCD of 250, 718, 404, 958 is 2
2. Where do I get the detailed procedure to find GCD of 250, 718, 404, 958?
You can find a detailed procedure to find GCD of 250, 718, 404, 958 on our page.
3. How to find GCD of 250, 718, 404, 958 on a calculator?
You can find the GCD of 250, 718, 404, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.