GCD of 298, 250, 38, 109 Calculator

Given Input numbers are 298, 250, 38, 109

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 298, 250, 38, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 250, 38, 109 is 1.

Therefore, GCD of numbers 298, 250, 38, 109 is 1

Given Input Data is 298, 250, 38, 109

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

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 109 is 109

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(298, 250) = 37250

GCD(298, 250) = ( 298 x 250 ) / 37250

GCD(298, 250) = 74500 / 37250

GCD(298, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 298, 250, 38, 109 is 1

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1. What is the GCD of 298, 250, 38, 109?

GCD of 298, 250, 38, 109 is 1

2. Where do I get the detailed procedure to find GCD of 298, 250, 38, 109?

You can find a detailed procedure to find GCD of 298, 250, 38, 109 on our page.

3. How to find GCD of 298, 250, 38, 109 on a calculator?

You can find the GCD of 298, 250, 38, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.