GCD of 712, 229, 796, 966 Calculator

Given Input numbers are 712, 229, 796, 966

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

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 712, 229, 796, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 229, 796, 966 is 1.

Therefore, GCD of numbers 712, 229, 796, 966 is 1

Given Input Data is 712, 229, 796, 966

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 229 is 229

Prime Factorization of 796 is 2 x 2 x 199

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(712, 229) = 163048

GCD(712, 229) = ( 712 x 229 ) / 163048

GCD(712, 229) = 163048 / 163048

GCD(712, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 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 712, 229, 796, 966 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 665, 105, 119, 173

1. What is the GCD of 712, 229, 796, 966?

GCD of 712, 229, 796, 966 is 1

2. Where do I get the detailed procedure to find GCD of 712, 229, 796, 966?

You can find a detailed procedure to find GCD of 712, 229, 796, 966 on our page.

3. How to find GCD of 712, 229, 796, 966 on a calculator?

You can find the GCD of 712, 229, 796, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.