GCD of 943, 314, 612, 966 Calculator

Given Input numbers are 943, 314, 612, 966

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

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 943, 314, 612, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 314, 612, 966 is 1.

Therefore, GCD of numbers 943, 314, 612, 966 is 1

Given Input Data is 943, 314, 612, 966

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 314 is 2 x 157

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(943, 314) = 296102

GCD(943, 314) = ( 943 x 314 ) / 296102

GCD(943, 314) = 296102 / 296102

GCD(943, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

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 943, 314, 612, 966 is 1

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1. What is the GCD of 943, 314, 612, 966?

GCD of 943, 314, 612, 966 is 1

2. Where do I get the detailed procedure to find GCD of 943, 314, 612, 966?

You can find a detailed procedure to find GCD of 943, 314, 612, 966 on our page.

3. How to find GCD of 943, 314, 612, 966 on a calculator?

You can find the GCD of 943, 314, 612, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.