GCD of 99, 30, 39, 69 Calculator

Given Input numbers are 99, 30, 39, 69

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 99, 30, 39, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 30, 39, 69 is 3.

Therefore, GCD of numbers 99, 30, 39, 69 is 3

Given Input Data is 99, 30, 39, 69

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 69 is 3 x 23

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(99, 30) = 990

GCD(99, 30) = ( 99 x 30 ) / 990

GCD(99, 30) = 2970 / 990

GCD(99, 30) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

GCD of 99, 30, 39, 69 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 18, 24, 88
• GCD of 42, 88, 47, 96
• GCD of 44, 60, 24, 36
• GCD of 32, 23, 38, 43
• GCD of 58, 71, 73, 88

1. What is the GCD of 99, 30, 39, 69?

GCD of 99, 30, 39, 69 is 3

2. Where do I get the detailed procedure to find GCD of 99, 30, 39, 69?

You can find a detailed procedure to find GCD of 99, 30, 39, 69 on our page.

3. How to find GCD of 99, 30, 39, 69 on a calculator?

You can find the GCD of 99, 30, 39, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.