GCD of 449, 629, 752, 309 Calculator

Given Input numbers are 449, 629, 752, 309

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 449, 629, 752, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 629, 752, 309 is 1.

Therefore, GCD of numbers 449, 629, 752, 309 is 1

Given Input Data is 449, 629, 752, 309

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

Prime Factorization of 449 is 449

Prime Factorization of 629 is 17 x 37

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 309 is 3 x 103

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(449, 629) = 282421

GCD(449, 629) = ( 449 x 629 ) / 282421

GCD(449, 629) = 282421 / 282421

GCD(449, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 449, 629, 752, 309 is 1

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1. What is the GCD of 449, 629, 752, 309?

GCD of 449, 629, 752, 309 is 1

2. Where do I get the detailed procedure to find GCD of 449, 629, 752, 309?

You can find a detailed procedure to find GCD of 449, 629, 752, 309 on our page.

3. How to find GCD of 449, 629, 752, 309 on a calculator?

You can find the GCD of 449, 629, 752, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.