GCD of 240, 299, 190 Calculator

Given Input numbers are 240, 299, 190

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 240, 299, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 299, 190 is 1.

Therefore, GCD of numbers 240, 299, 190 is 1

Given Input Data is 240, 299, 190

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 299 is 13 x 23

Prime Factorization of 190 is 2 x 5 x 19

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(240, 299) = 71760

GCD(240, 299) = ( 240 x 299 ) / 71760

GCD(240, 299) = 71760 / 71760

GCD(240, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

GCD of 240, 299, 190 is 1

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1. What is the GCD of 240, 299, 190?

GCD of 240, 299, 190 is 1

2. Where do I get the detailed procedure to find GCD of 240, 299, 190?

You can find a detailed procedure to find GCD of 240, 299, 190 on our page.

3. How to find GCD of 240, 299, 190 on a calculator?

You can find the GCD of 240, 299, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.