**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 72, 76, 58 i.e. 2 largest integer that divides all the numbers equally.

GCD of 72, 76, 58 is 2

GCD(72, 76, 58) = 2

**Ex:** 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of numbers 72, 76, 58 is 2

GCD(72, 76, 58) = 2

Given Input numbers are 72, 76, 58

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 76**

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

**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 72, 76, 58 . The biggest common divisior number is the **GCD** number.

So the **Greatest Common Divisior 72, 76, 58 ** is **2**.

Therefore, GCD of numbers 72, 76, 58 is 2

Given Input Data is 72, 76, 58

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 76 is 2 x 2 x 19

Prime Factorization of 58 is 2 x 29

Highest common occurrences in the given inputs are 2^{1}

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, 76) = 1368

GCD(72, 76) = ( 72 x 76 ) / 1368

GCD(72, 76) = 5472 / 1368

GCD(72, 76) = 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 72, 76, 58 is 2

Here are some samples of GCD of Numbers calculations.

**1. What is the GCD of 72, 76, 58?**

GCD of 72, 76, 58 is 2

**2. Where do I get the detailed procedure to find GCD of 72, 76, 58?**

You can find a detailed procedure to find GCD of 72, 76, 58 on our page.

**3. How to find GCD of 72, 76, 58 on a calculator?**

You can find the GCD of 72, 76, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.