GCD of 33, 75, 99 Calculator

Given Input numbers are 33, 75, 99

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 33, 75, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 75, 99 is 3.

Therefore, GCD of numbers 33, 75, 99 is 3

Given Input Data is 33, 75, 99

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

Prime Factorization of 33 is 3 x 11

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(33, 75) = 825

GCD(33, 75) = ( 33 x 75 ) / 825

GCD(33, 75) = 2475 / 825

GCD(33, 75) = 3

Step2:

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 33, 75, 99 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 52, 29
• GCD of 93, 82, 18
• GCD of 64, 69, 92
• GCD of 53, 90, 64
• GCD of 61, 14, 43

1. What is the GCD of 33, 75, 99?

GCD of 33, 75, 99 is 3

2. Where do I get the detailed procedure to find GCD of 33, 75, 99?

You can find a detailed procedure to find GCD of 33, 75, 99 on our page.

3. How to find GCD of 33, 75, 99 on a calculator?

You can find the GCD of 33, 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.