GCD of 966, 975, 939, 463 Calculator

Given Input numbers are 966, 975, 939, 463

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 463

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

1, 463

Greatest Common Divisior

We found the divisors of 966, 975, 939, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 975, 939, 463 is 1.

Therefore, GCD of numbers 966, 975, 939, 463 is 1

Given Input Data is 966, 975, 939, 463

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 975 is 3 x 5 x 5 x 13

Prime Factorization of 939 is 3 x 313

Prime Factorization of 463 is 463

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, 975) = 313950

GCD(966, 975) = ( 966 x 975 ) / 313950

GCD(966, 975) = 941850 / 313950

GCD(966, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 939

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

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

GCD(3, 939) = 2817 / 939

GCD(3, 939) = 3

Step3:

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

GCD of 966, 975, 939, 463 is 1

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1. What is the GCD of 966, 975, 939, 463?

GCD of 966, 975, 939, 463 is 1

2. Where do I get the detailed procedure to find GCD of 966, 975, 939, 463?

You can find a detailed procedure to find GCD of 966, 975, 939, 463 on our page.

3. How to find GCD of 966, 975, 939, 463 on a calculator?

You can find the GCD of 966, 975, 939, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.