GCD of 405, 349, 966 Calculator

Given Input numbers are 405, 349, 966

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 405, 349, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 349, 966 is 1.

Therefore, GCD of numbers 405, 349, 966 is 1

Given Input Data is 405, 349, 966

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 349 is 349

Prime Factorization of 966 is 2 x 3 x 7 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(405, 349) = 141345

GCD(405, 349) = ( 405 x 349 ) / 141345

GCD(405, 349) = 141345 / 141345

GCD(405, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 405, 349, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 647, 560
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1. What is the GCD of 405, 349, 966?

GCD of 405, 349, 966 is 1

2. Where do I get the detailed procedure to find GCD of 405, 349, 966?

You can find a detailed procedure to find GCD of 405, 349, 966 on our page.

3. How to find GCD of 405, 349, 966 on a calculator?

You can find the GCD of 405, 349, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.