GCD of 738, 432, 37, 424 Calculator

Given Input numbers are 738, 432, 37, 424

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 738, 432, 37, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 432, 37, 424 is 1.

Therefore, GCD of numbers 738, 432, 37, 424 is 1

Given Input Data is 738, 432, 37, 424

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 37 is 37

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(738, 432) = 17712

GCD(738, 432) = ( 738 x 432 ) / 17712

GCD(738, 432) = 318816 / 17712

GCD(738, 432) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 37

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

LCM(18, 37) = 666

GCD(18, 37) = ( 18 x 37 ) / 666

GCD(18, 37) = 666 / 666

GCD(18, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 738, 432, 37, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 409, 40, 477
• GCD of 112, 130, 45, 275
• GCD of 582, 823, 36, 741
• GCD of 131, 564, 71, 131
• GCD of 742, 107, 36, 727

1. What is the GCD of 738, 432, 37, 424?

GCD of 738, 432, 37, 424 is 1

2. Where do I get the detailed procedure to find GCD of 738, 432, 37, 424?

You can find a detailed procedure to find GCD of 738, 432, 37, 424 on our page.

3. How to find GCD of 738, 432, 37, 424 on a calculator?

You can find the GCD of 738, 432, 37, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.