GCD of 165, 518, 214 Calculator

Given Input numbers are 165, 518, 214

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 165, 518, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 518, 214 is 1.

Therefore, GCD of numbers 165, 518, 214 is 1

Given Input Data is 165, 518, 214

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 214 is 2 x 107

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(165, 518) = 85470

GCD(165, 518) = ( 165 x 518 ) / 85470

GCD(165, 518) = 85470 / 85470

GCD(165, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 165, 518, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 200, 173
• GCD of 299, 827, 163
• GCD of 781, 243, 422
• GCD of 772, 380, 554
• GCD of 512, 681, 312

1. What is the GCD of 165, 518, 214?

GCD of 165, 518, 214 is 1

2. Where do I get the detailed procedure to find GCD of 165, 518, 214?

You can find a detailed procedure to find GCD of 165, 518, 214 on our page.

3. How to find GCD of 165, 518, 214 on a calculator?

You can find the GCD of 165, 518, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.