GCD of 38, 648, 146, 729 Calculator

Given Input numbers are 38, 648, 146, 729

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 38, 648, 146, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 648, 146, 729 is 1.

Therefore, GCD of numbers 38, 648, 146, 729 is 1

Given Input Data is 38, 648, 146, 729

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 146 is 2 x 73

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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, 648) = 12312

GCD(38, 648) = ( 38 x 648 ) / 12312

GCD(38, 648) = 24624 / 12312

GCD(38, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

GCD of 38, 648, 146, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 657, 720, 898
• GCD of 37, 965, 264, 191
• GCD of 30, 280, 398, 775
• GCD of 48, 808, 136, 204
• GCD of 11, 455, 790, 354

1. What is the GCD of 38, 648, 146, 729?

GCD of 38, 648, 146, 729 is 1

2. Where do I get the detailed procedure to find GCD of 38, 648, 146, 729?

You can find a detailed procedure to find GCD of 38, 648, 146, 729 on our page.

3. How to find GCD of 38, 648, 146, 729 on a calculator?

You can find the GCD of 38, 648, 146, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.