GCD of 109, 444, 71, 629 Calculator

Given Input numbers are 109, 444, 71, 629

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 629

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

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 109, 444, 71, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 444, 71, 629 is 1.

Therefore, GCD of numbers 109, 444, 71, 629 is 1

Given Input Data is 109, 444, 71, 629

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

Prime Factorization of 109 is 109

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 71 is 71

Prime Factorization of 629 is 17 x 37

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(109, 444) = 48396

GCD(109, 444) = ( 109 x 444 ) / 48396

GCD(109, 444) = 48396 / 48396

GCD(109, 444) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 109, 444, 71, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 118, 66, 615
• GCD of 670, 629, 91, 591
• GCD of 247, 405, 44, 860
• GCD of 295, 718, 87, 764
• GCD of 910, 665, 62, 319

1. What is the GCD of 109, 444, 71, 629?

GCD of 109, 444, 71, 629 is 1

2. Where do I get the detailed procedure to find GCD of 109, 444, 71, 629?

You can find a detailed procedure to find GCD of 109, 444, 71, 629 on our page.

3. How to find GCD of 109, 444, 71, 629 on a calculator?

You can find the GCD of 109, 444, 71, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.