GCD of 447, 933, 114, 683 Calculator

Given Input numbers are 447, 933, 114, 683

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 447, 933, 114, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 933, 114, 683 is 1.

Therefore, GCD of numbers 447, 933, 114, 683 is 1

Given Input Data is 447, 933, 114, 683

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 933 is 3 x 311

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 683 is 683

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(447, 933) = 139017

GCD(447, 933) = ( 447 x 933 ) / 139017

GCD(447, 933) = 417051 / 139017

GCD(447, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 683

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

LCM(3, 683) = 2049

GCD(3, 683) = ( 3 x 683 ) / 2049

GCD(3, 683) = 2049 / 2049

GCD(3, 683) = 1

GCD of 447, 933, 114, 683 is 1

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1. What is the GCD of 447, 933, 114, 683?

GCD of 447, 933, 114, 683 is 1

2. Where do I get the detailed procedure to find GCD of 447, 933, 114, 683?

You can find a detailed procedure to find GCD of 447, 933, 114, 683 on our page.

3. How to find GCD of 447, 933, 114, 683 on a calculator?

You can find the GCD of 447, 933, 114, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.