GCD of 966, 489, 415, 404 Calculator

Given Input numbers are 966, 489, 415, 404

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

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 966, 489, 415, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 489, 415, 404 is 1.

Therefore, GCD of numbers 966, 489, 415, 404 is 1

Given Input Data is 966, 489, 415, 404

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 489 is 3 x 163

Prime Factorization of 415 is 5 x 83

Prime Factorization of 404 is 2 x 2 x 101

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(966, 489) = 157458

GCD(966, 489) = ( 966 x 489 ) / 157458

GCD(966, 489) = 472374 / 157458

GCD(966, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 415

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

LCM(3, 415) = 1245

GCD(3, 415) = ( 3 x 415 ) / 1245

GCD(3, 415) = 1245 / 1245

GCD(3, 415) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 966, 489, 415, 404 is 1

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1. What is the GCD of 966, 489, 415, 404?

GCD of 966, 489, 415, 404 is 1

2. Where do I get the detailed procedure to find GCD of 966, 489, 415, 404?

You can find a detailed procedure to find GCD of 966, 489, 415, 404 on our page.

3. How to find GCD of 966, 489, 415, 404 on a calculator?

You can find the GCD of 966, 489, 415, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.