GCD of 250, 718, 404, 958 Calculator

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

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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.