GCD of 30, 48, 99, 40 Calculator

Given Input numbers are 30, 48, 99, 40

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

Divisors of 30

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

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 30, 48, 99, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 48, 99, 40 is 1.

Therefore, GCD of numbers 30, 48, 99, 40 is 1

Given Input Data is 30, 48, 99, 40

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 40 is 2 x 2 x 2 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(30, 48) = 240

GCD(30, 48) = ( 30 x 48 ) / 240

GCD(30, 48) = 1440 / 240

GCD(30, 48) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 99

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

LCM(6, 99) = 198

GCD(6, 99) = ( 6 x 99 ) / 198

GCD(6, 99) = 594 / 198

GCD(6, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

GCD of 30, 48, 99, 40 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 30, 62, 22
• GCD of 39, 31, 12, 61
• GCD of 98, 33, 51, 89
• GCD of 40, 97, 93, 10
• GCD of 89, 11, 35, 17

1. What is the GCD of 30, 48, 99, 40?

GCD of 30, 48, 99, 40 is 1

2. Where do I get the detailed procedure to find GCD of 30, 48, 99, 40?

You can find a detailed procedure to find GCD of 30, 48, 99, 40 on our page.

3. How to find GCD of 30, 48, 99, 40 on a calculator?

You can find the GCD of 30, 48, 99, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.