GCD of 46, 8, 22, 30 Calculator

Given Input numbers are 46, 8, 22, 30

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 22

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

1, 2, 11, 22

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 46, 8, 22, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 8, 22, 30 is 2.

Therefore, GCD of numbers 46, 8, 22, 30 is 2

Given Input Data is 46, 8, 22, 30

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 22 is 2 x 11

Prime Factorization of 30 is 2 x 3 x 5

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(46, 8) = 184

GCD(46, 8) = ( 46 x 8 ) / 184

GCD(46, 8) = 368 / 184

GCD(46, 8) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

GCD of 46, 8, 22, 30 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 3, 44, 94
• GCD of 45, 4, 92, 88
• GCD of 59, 5, 42, 25
• GCD of 91, 6, 69, 24
• GCD of 43, 9, 32, 54

1. What is the GCD of 46, 8, 22, 30?

GCD of 46, 8, 22, 30 is 2

2. Where do I get the detailed procedure to find GCD of 46, 8, 22, 30?

You can find a detailed procedure to find GCD of 46, 8, 22, 30 on our page.

3. How to find GCD of 46, 8, 22, 30 on a calculator?

You can find the GCD of 46, 8, 22, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.