GCD of 433, 613, 744, 966 Calculator

Given Input numbers are 433, 613, 744, 966

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

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 433, 613, 744, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 613, 744, 966 is 1.

Therefore, GCD of numbers 433, 613, 744, 966 is 1

Given Input Data is 433, 613, 744, 966

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

Prime Factorization of 433 is 433

Prime Factorization of 613 is 613

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(433, 613) = 265429

GCD(433, 613) = ( 433 x 613 ) / 265429

GCD(433, 613) = 265429 / 265429

GCD(433, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 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 433, 613, 744, 966 is 1

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1. What is the GCD of 433, 613, 744, 966?

GCD of 433, 613, 744, 966 is 1

2. Where do I get the detailed procedure to find GCD of 433, 613, 744, 966?

You can find a detailed procedure to find GCD of 433, 613, 744, 966 on our page.

3. How to find GCD of 433, 613, 744, 966 on a calculator?

You can find the GCD of 433, 613, 744, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.