GCD of 744, 395, 15, 638 Calculator

Given Input numbers are 744, 395, 15, 638

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

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 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 744, 395, 15, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 395, 15, 638 is 1.

Therefore, GCD of numbers 744, 395, 15, 638 is 1

Given Input Data is 744, 395, 15, 638

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

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 15 is 3 x 5

Prime Factorization of 638 is 2 x 11 x 29

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(744, 395) = 293880

GCD(744, 395) = ( 744 x 395 ) / 293880

GCD(744, 395) = 293880 / 293880

GCD(744, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 744, 395, 15, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 245, 44, 263
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• GCD of 944, 888, 73, 281

1. What is the GCD of 744, 395, 15, 638?

GCD of 744, 395, 15, 638 is 1

2. Where do I get the detailed procedure to find GCD of 744, 395, 15, 638?

You can find a detailed procedure to find GCD of 744, 395, 15, 638 on our page.

3. How to find GCD of 744, 395, 15, 638 on a calculator?

You can find the GCD of 744, 395, 15, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.