GCD of 84, 93, 18, 30 Calculator

Given Input numbers are 84, 93, 18, 30

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 84, 93, 18, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 93, 18, 30 is 3.

Therefore, GCD of numbers 84, 93, 18, 30 is 3

Given Input Data is 84, 93, 18, 30

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 93 is 3 x 31

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

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(84, 93) = 2604

GCD(84, 93) = ( 84 x 93 ) / 2604

GCD(84, 93) = 7812 / 2604

GCD(84, 93) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

GCD of 84, 93, 18, 30 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 66, 44, 12
• GCD of 36, 36, 79, 47
• GCD of 98, 76, 48, 82
• GCD of 59, 55, 39, 86
• GCD of 28, 19, 24, 96

1. What is the GCD of 84, 93, 18, 30?

GCD of 84, 93, 18, 30 is 3

2. Where do I get the detailed procedure to find GCD of 84, 93, 18, 30?

You can find a detailed procedure to find GCD of 84, 93, 18, 30 on our page.

3. How to find GCD of 84, 93, 18, 30 on a calculator?

You can find the GCD of 84, 93, 18, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.