GCD of 43, 72, 38, 30 Calculator

Given Input numbers are 43, 72, 38, 30

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 38

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

1, 2, 19, 38

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 43, 72, 38, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 72, 38, 30 is 1.

Therefore, GCD of numbers 43, 72, 38, 30 is 1

Given Input Data is 43, 72, 38, 30

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

Prime Factorization of 43 is 43

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 38 is 2 x 19

Prime Factorization of 30 is 2 x 3 x 5

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(43, 72) = 3096

GCD(43, 72) = ( 43 x 72 ) / 3096

GCD(43, 72) = 3096 / 3096

GCD(43, 72) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

GCD of 43, 72, 38, 30 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 37, 32, 39
• GCD of 51, 77, 69, 83
• GCD of 23, 15, 50, 93
• GCD of 42, 17, 33, 21
• GCD of 17, 39, 66, 76

1. What is the GCD of 43, 72, 38, 30?

GCD of 43, 72, 38, 30 is 1

2. Where do I get the detailed procedure to find GCD of 43, 72, 38, 30?

You can find a detailed procedure to find GCD of 43, 72, 38, 30 on our page.

3. How to find GCD of 43, 72, 38, 30 on a calculator?

You can find the GCD of 43, 72, 38, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.