GCD of 905, 132, 299 Calculator

Given Input numbers are 905, 132, 299

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 299

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

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 905, 132, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 132, 299 is 1.

Therefore, GCD of numbers 905, 132, 299 is 1

Given Input Data is 905, 132, 299

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 299 is 13 x 23

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(905, 132) = 119460

GCD(905, 132) = ( 905 x 132 ) / 119460

GCD(905, 132) = 119460 / 119460

GCD(905, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 905, 132, 299 is 1

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1. What is the GCD of 905, 132, 299?

GCD of 905, 132, 299 is 1

2. Where do I get the detailed procedure to find GCD of 905, 132, 299?

You can find a detailed procedure to find GCD of 905, 132, 299 on our page.

3. How to find GCD of 905, 132, 299 on a calculator?

You can find the GCD of 905, 132, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.