GCD of 299, 254, 133 Calculator

Given Input numbers are 299, 254, 133

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

Divisors of 299

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

1, 13, 23, 299

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 299, 254, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 254, 133 is 1.

Therefore, GCD of numbers 299, 254, 133 is 1

Given Input Data is 299, 254, 133

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 254 is 2 x 127

Prime Factorization of 133 is 7 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(299, 254) = 75946

GCD(299, 254) = ( 299 x 254 ) / 75946

GCD(299, 254) = 75946 / 75946

GCD(299, 254) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 299, 254, 133 is 1

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1. What is the GCD of 299, 254, 133?

GCD of 299, 254, 133 is 1

2. Where do I get the detailed procedure to find GCD of 299, 254, 133?

You can find a detailed procedure to find GCD of 299, 254, 133 on our page.

3. How to find GCD of 299, 254, 133 on a calculator?

You can find the GCD of 299, 254, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.