GCD of 34, 18, 38, 22 Calculator

Given Input numbers are 34, 18, 38, 22

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 34, 18, 38, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 18, 38, 22 is 2.

Therefore, GCD of numbers 34, 18, 38, 22 is 2

Given Input Data is 34, 18, 38, 22

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 38 is 2 x 19

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(34, 18) = 306

GCD(34, 18) = ( 34 x 18 ) / 306

GCD(34, 18) = 612 / 306

GCD(34, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 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 34, 18, 38, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 45, 99, 80
• GCD of 18, 15, 75, 82
• GCD of 35, 85, 88, 10
• GCD of 72, 91, 73, 68
• GCD of 16, 19, 26, 55

1. What is the GCD of 34, 18, 38, 22?

GCD of 34, 18, 38, 22 is 2

2. Where do I get the detailed procedure to find GCD of 34, 18, 38, 22?

You can find a detailed procedure to find GCD of 34, 18, 38, 22 on our page.

3. How to find GCD of 34, 18, 38, 22 on a calculator?

You can find the GCD of 34, 18, 38, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.