GCD of 24, 30, 36, 93 Calculator

Given Input numbers are 24, 30, 36, 93

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 93

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

1, 3, 31, 93

Greatest Common Divisior

We found the divisors of 24, 30, 36, 93 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 30, 36, 93 is 3.

Therefore, GCD of numbers 24, 30, 36, 93 is 3

Given Input Data is 24, 30, 36, 93

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 93 is 3 x 31

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(24, 30) = 120

GCD(24, 30) = ( 24 x 30 ) / 120

GCD(24, 30) = 720 / 120

GCD(24, 30) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 93

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

LCM(6, 93) = 186

GCD(6, 93) = ( 6 x 93 ) / 186

GCD(6, 93) = 558 / 186

GCD(6, 93) = 3

GCD of 24, 30, 36, 93 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 45, 84, 89
• GCD of 73, 69, 55, 17
• GCD of 75, 73, 73, 10
• GCD of 62, 62, 48, 82
• GCD of 52, 40, 23, 65

1. What is the GCD of 24, 30, 36, 93?

GCD of 24, 30, 36, 93 is 3

2. Where do I get the detailed procedure to find GCD of 24, 30, 36, 93?

You can find a detailed procedure to find GCD of 24, 30, 36, 93 on our page.

3. How to find GCD of 24, 30, 36, 93 on a calculator?

You can find the GCD of 24, 30, 36, 93 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.