GCD of 963, 264, 463, 299 Calculator

Given Input numbers are 963, 264, 463, 299

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 963, 264, 463, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 264, 463, 299 is 1.

Therefore, GCD of numbers 963, 264, 463, 299 is 1

Given Input Data is 963, 264, 463, 299

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 463 is 463

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(963, 264) = 84744

GCD(963, 264) = ( 963 x 264 ) / 84744

GCD(963, 264) = 254232 / 84744

GCD(963, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 463

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

LCM(3, 463) = 1389

GCD(3, 463) = ( 3 x 463 ) / 1389

GCD(3, 463) = 1389 / 1389

GCD(3, 463) = 1

Step3:

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 963, 264, 463, 299 is 1

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1. What is the GCD of 963, 264, 463, 299?

GCD of 963, 264, 463, 299 is 1

2. Where do I get the detailed procedure to find GCD of 963, 264, 463, 299?

You can find a detailed procedure to find GCD of 963, 264, 463, 299 on our page.

3. How to find GCD of 963, 264, 463, 299 on a calculator?

You can find the GCD of 963, 264, 463, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.