GCD of 30, 10, 24, 22 Calculator

Given Input numbers are 30, 10, 24, 22

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 30, 10, 24, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 10, 24, 22 is 2.

Therefore, GCD of numbers 30, 10, 24, 22 is 2

Given Input Data is 30, 10, 24, 22

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 10 is 2 x 5

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

Prime Factorization of 22 is 2 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 10) = 30

GCD(30, 10) = ( 30 x 10 ) / 30

GCD(30, 10) = 300 / 30

GCD(30, 10) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 24

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

LCM(10, 24) = 120

GCD(10, 24) = ( 10 x 24 ) / 120

GCD(10, 24) = 240 / 120

GCD(10, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

GCD of 30, 10, 24, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 15, 84, 77
• GCD of 49, 62, 59, 61
• GCD of 65, 44, 57, 48
• GCD of 11, 21, 91, 96
• GCD of 38, 73, 34, 13

1. What is the GCD of 30, 10, 24, 22?

GCD of 30, 10, 24, 22 is 2

2. Where do I get the detailed procedure to find GCD of 30, 10, 24, 22?

You can find a detailed procedure to find GCD of 30, 10, 24, 22 on our page.

3. How to find GCD of 30, 10, 24, 22 on a calculator?

You can find the GCD of 30, 10, 24, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.