GCD of 963, 966, 588, 466 Calculator

Given Input numbers are 963, 966, 588, 466

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 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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 963, 966, 588, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 966, 588, 466 is 1.

Therefore, GCD of numbers 963, 966, 588, 466 is 1

Given Input Data is 963, 966, 588, 466

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 466 is 2 x 233

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, 966) = 310086

GCD(963, 966) = ( 963 x 966 ) / 310086

GCD(963, 966) = 930258 / 310086

GCD(963, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 588

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

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

GCD(3, 588) = 1764 / 588

GCD(3, 588) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

GCD of 963, 966, 588, 466 is 1

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1. What is the GCD of 963, 966, 588, 466?

GCD of 963, 966, 588, 466 is 1

2. Where do I get the detailed procedure to find GCD of 963, 966, 588, 466?

You can find a detailed procedure to find GCD of 963, 966, 588, 466 on our page.

3. How to find GCD of 963, 966, 588, 466 on a calculator?

You can find the GCD of 963, 966, 588, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.