GCD of 392, 244, 908, 250 Calculator

Given Input numbers are 392, 244, 908, 250

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 392, 244, 908, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 244, 908, 250 is 2.

Therefore, GCD of numbers 392, 244, 908, 250 is 2

Given Input Data is 392, 244, 908, 250

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 250 is 2 x 5 x 5 x 5

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(392, 244) = 23912

GCD(392, 244) = ( 392 x 244 ) / 23912

GCD(392, 244) = 95648 / 23912

GCD(392, 244) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 908

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

GCD(4, 908) = 3632 / 908

GCD(4, 908) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 250

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 250) = 500

GCD(4, 250) = ( 4 x 250 ) / 500

GCD(4, 250) = 1000 / 500

GCD(4, 250) = 2

GCD of 392, 244, 908, 250 is 2

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1. What is the GCD of 392, 244, 908, 250?

GCD of 392, 244, 908, 250 is 2

2. Where do I get the detailed procedure to find GCD of 392, 244, 908, 250?

You can find a detailed procedure to find GCD of 392, 244, 908, 250 on our page.

3. How to find GCD of 392, 244, 908, 250 on a calculator?

You can find the GCD of 392, 244, 908, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.