GCD of 30, 72, 75, 99 Calculator

Given Input numbers are 30, 72, 75, 99

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 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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 99

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

1, 3, 9, 11, 33, 99

Greatest Common Divisior

We found the divisors of 30, 72, 75, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 72, 75, 99 is 3.

Therefore, GCD of numbers 30, 72, 75, 99 is 3

Given Input Data is 30, 72, 75, 99

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 99 is 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 72) = 360

GCD(30, 72) = ( 30 x 72 ) / 360

GCD(30, 72) = 2160 / 360

GCD(30, 72) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 75

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

LCM(6, 75) = 150

GCD(6, 75) = ( 6 x 75 ) / 150

GCD(6, 75) = 450 / 150

GCD(6, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

GCD of 30, 72, 75, 99 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 38, 51, 89
• GCD of 16, 93, 27, 75
• GCD of 98, 76, 88, 61
• GCD of 19, 37, 64, 90
• GCD of 74, 46, 83, 18

1. What is the GCD of 30, 72, 75, 99?

GCD of 30, 72, 75, 99 is 3

2. Where do I get the detailed procedure to find GCD of 30, 72, 75, 99?

You can find a detailed procedure to find GCD of 30, 72, 75, 99 on our page.

3. How to find GCD of 30, 72, 75, 99 on a calculator?

You can find the GCD of 30, 72, 75, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.