GCD of 22, 66, 14, 28 Calculator

Given Input numbers are 22, 66, 14, 28

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

Divisors of 22

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

1, 2, 11, 22

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 22, 66, 14, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 66, 14, 28 is 2.

Therefore, GCD of numbers 22, 66, 14, 28 is 2

Given Input Data is 22, 66, 14, 28

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 28 is 2 x 2 x 7

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(22, 66) = 66

GCD(22, 66) = ( 22 x 66 ) / 66

GCD(22, 66) = 1452 / 66

GCD(22, 66) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 14

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

LCM(22, 14) = 154

GCD(22, 14) = ( 22 x 14 ) / 154

GCD(22, 14) = 308 / 154

GCD(22, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

GCD of 22, 66, 14, 28 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 59, 37, 84
• GCD of 85, 14, 26, 53
• GCD of 55, 90, 80, 92
• GCD of 61, 69, 27, 85
• GCD of 42, 29, 96, 62

1. What is the GCD of 22, 66, 14, 28?

GCD of 22, 66, 14, 28 is 2

2. Where do I get the detailed procedure to find GCD of 22, 66, 14, 28?

You can find a detailed procedure to find GCD of 22, 66, 14, 28 on our page.

3. How to find GCD of 22, 66, 14, 28 on a calculator?

You can find the GCD of 22, 66, 14, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.