GCD of 30, 5, 22, 41 Calculator

Given Input numbers are 30, 5, 22, 41

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 5

List of positive integer divisors of 5 that divides 5 without a remainder.

1, 5

Divisors of 22

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

1, 2, 11, 22

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 30, 5, 22, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 5, 22, 41 is 1.

Therefore, GCD of numbers 30, 5, 22, 41 is 1

Given Input Data is 30, 5, 22, 41

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 5 is 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 41 is 41

The above numbers do not have any common prime factor. So GCD is 1

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, 5) = 30

GCD(30, 5) = ( 30 x 5 ) / 30

GCD(30, 5) = 150 / 30

GCD(30, 5) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 22

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

LCM(5, 22) = 110

GCD(5, 22) = ( 5 x 22 ) / 110

GCD(5, 22) = 110 / 110

GCD(5, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

GCD of 30, 5, 22, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 5, 68, 50
• GCD of 94, 5, 33, 63
• GCD of 51, 2, 47, 49
• GCD of 93, 9, 51, 12
• GCD of 64, 2, 68, 28

1. What is the GCD of 30, 5, 22, 41?

GCD of 30, 5, 22, 41 is 1

2. Where do I get the detailed procedure to find GCD of 30, 5, 22, 41?

You can find a detailed procedure to find GCD of 30, 5, 22, 41 on our page.

3. How to find GCD of 30, 5, 22, 41 on a calculator?

You can find the GCD of 30, 5, 22, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.