GCD of 72, 92, 58, 28 Calculator

Given Input numbers are 72, 92, 58, 28

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 58

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

1, 2, 29, 58

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 72, 92, 58, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 92, 58, 28 is 2.

Therefore, GCD of numbers 72, 92, 58, 28 is 2

Given Input Data is 72, 92, 58, 28

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 58 is 2 x 29

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(72, 92) = 1656

GCD(72, 92) = ( 72 x 92 ) / 1656

GCD(72, 92) = 6624 / 1656

GCD(72, 92) = 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

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 72, 92, 58, 28 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 48, 97, 68
• GCD of 58, 56, 35, 31
• GCD of 95, 71, 95, 25
• GCD of 45, 79, 85, 14
• GCD of 38, 28, 24, 33

1. What is the GCD of 72, 92, 58, 28?

GCD of 72, 92, 58, 28 is 2

2. Where do I get the detailed procedure to find GCD of 72, 92, 58, 28?

You can find a detailed procedure to find GCD of 72, 92, 58, 28 on our page.

3. How to find GCD of 72, 92, 58, 28 on a calculator?

You can find the GCD of 72, 92, 58, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.