GCD of 38, 528, 321, 744 Calculator

Given Input numbers are 38, 528, 321, 744

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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

Greatest Common Divisior

We found the divisors of 38, 528, 321, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 528, 321, 744 is 1.

Therefore, GCD of numbers 38, 528, 321, 744 is 1

Given Input Data is 38, 528, 321, 744

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 321 is 3 x 107

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

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(38, 528) = 10032

GCD(38, 528) = ( 38 x 528 ) / 10032

GCD(38, 528) = 20064 / 10032

GCD(38, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

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

GCD of 38, 528, 321, 744 is 1

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• GCD of 62, 358, 679, 105
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1. What is the GCD of 38, 528, 321, 744?

GCD of 38, 528, 321, 744 is 1

2. Where do I get the detailed procedure to find GCD of 38, 528, 321, 744?

You can find a detailed procedure to find GCD of 38, 528, 321, 744 on our page.

3. How to find GCD of 38, 528, 321, 744 on a calculator?

You can find the GCD of 38, 528, 321, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.