GCD of 331, 704, 966 Calculator

Given Input numbers are 331, 704, 966

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 331, 704, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 704, 966 is 1.

Therefore, GCD of numbers 331, 704, 966 is 1

Given Input Data is 331, 704, 966

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

Prime Factorization of 331 is 331

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(331, 704) = 233024

GCD(331, 704) = ( 331 x 704 ) / 233024

GCD(331, 704) = 233024 / 233024

GCD(331, 704) = 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 331, 704, 966 is 1

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1. What is the GCD of 331, 704, 966?

GCD of 331, 704, 966 is 1

2. Where do I get the detailed procedure to find GCD of 331, 704, 966?

You can find a detailed procedure to find GCD of 331, 704, 966 on our page.

3. How to find GCD of 331, 704, 966 on a calculator?

You can find the GCD of 331, 704, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.