GCD of 28, 12, 58 Calculator

Given Input numbers are 28, 12, 58

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 28, 12, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 12, 58 is 2.

Therefore, GCD of numbers 28, 12, 58 is 2

Given Input Data is 28, 12, 58

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 58 is 2 x 29

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(28, 12) = 84

GCD(28, 12) = ( 28 x 12 ) / 84

GCD(28, 12) = 336 / 84

GCD(28, 12) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

GCD of 28, 12, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 78, 91
• GCD of 78, 11, 91
• GCD of 56, 50, 15
• GCD of 21, 66, 20
• GCD of 77, 19, 95

1. What is the GCD of 28, 12, 58?

GCD of 28, 12, 58 is 2

2. Where do I get the detailed procedure to find GCD of 28, 12, 58?

You can find a detailed procedure to find GCD of 28, 12, 58 on our page.

3. How to find GCD of 28, 12, 58 on a calculator?

You can find the GCD of 28, 12, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.