**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 40, 98, 83 i.e. 1 largest integer that divides all the numbers equally.

GCD of 40, 98, 83 is 1

GCD(40, 98, 83) = 1

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

GCD of numbers 40, 98, 83 is 1

GCD(40, 98, 83) = 1

Given Input numbers are 40, 98, 83

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

**Divisors of 40**

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

**Divisors of 98**

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

**Divisors of 83**

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

**Greatest Common Divisior**

We found the divisors of 40, 98, 83 . The biggest common divisior number is the **GCD** number.

So the **Greatest Common Divisior 40, 98, 83 ** is **1**.

Therefore, GCD of numbers 40, 98, 83 is 1

Given Input Data is 40, 98, 83

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 83 is 83

The above numbers do not have any common prime factor. So GCD is 1

**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(40, 98) = 1960

GCD(40, 98) = ( 40 x 98 ) / 1960

GCD(40, 98) = 3920 / 1960

GCD(40, 98) = 2

**Step2:**

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

GCD of 40, 98, 83 is 1

Here are some samples of GCD of Numbers calculations.

**1. What is the GCD of 40, 98, 83?**

GCD of 40, 98, 83 is 1

**2. Where do I get the detailed procedure to find GCD of 40, 98, 83?**

You can find a detailed procedure to find GCD of 40, 98, 83 on our page.

**3. How to find GCD of 40, 98, 83 on a calculator?**

You can find the GCD of 40, 98, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.