**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 659, 473, 516 i.e. 1 largest integer that divides all the numbers equally.

GCD of 659, 473, 516 is 1

GCD(659, 473, 516) = 1

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

GCD of numbers 659, 473, 516 is 1

GCD(659, 473, 516) = 1

Given Input numbers are 659, 473, 516

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

**Divisors of 659**

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

**Divisors of 473**

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

**Divisors of 516**

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

**Greatest Common Divisior**

We found the divisors of 659, 473, 516 . The biggest common divisior number is the **GCD** number.

So the **Greatest Common Divisior 659, 473, 516 ** is **1**.

Therefore, GCD of numbers 659, 473, 516 is 1

Given Input Data is 659, 473, 516

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

Prime Factorization of 659 is 659

Prime Factorization of 473 is 11 x 43

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(659, 473) = 311707

GCD(659, 473) = ( 659 x 473 ) / 311707

GCD(659, 473) = 311707 / 311707

GCD(659, 473) = 1

**Step2:**

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 659, 473, 516 is 1

Here are some samples of GCD of Numbers calculations.

**1. What is the GCD of 659, 473, 516?**

GCD of 659, 473, 516 is 1

**2. Where do I get the detailed procedure to find GCD of 659, 473, 516?**

You can find a detailed procedure to find GCD of 659, 473, 516 on our page.

**3. How to find GCD of 659, 473, 516 on a calculator?**

You can find the GCD of 659, 473, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.