GCD of 204, 166, 15, 642 Calculator

Given Input numbers are 204, 166, 15, 642

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 204, 166, 15, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 166, 15, 642 is 1.

Therefore, GCD of numbers 204, 166, 15, 642 is 1

Given Input Data is 204, 166, 15, 642

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 166 is 2 x 83

Prime Factorization of 15 is 3 x 5

Prime Factorization of 642 is 2 x 3 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(204, 166) = 16932

GCD(204, 166) = ( 204 x 166 ) / 16932

GCD(204, 166) = 33864 / 16932

GCD(204, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 204, 166, 15, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 664, 11, 139
• GCD of 459, 790, 71, 984
• GCD of 164, 908, 13, 604
• GCD of 607, 102, 91, 358
• GCD of 698, 222, 75, 698

1. What is the GCD of 204, 166, 15, 642?

GCD of 204, 166, 15, 642 is 1

2. Where do I get the detailed procedure to find GCD of 204, 166, 15, 642?

You can find a detailed procedure to find GCD of 204, 166, 15, 642 on our page.

3. How to find GCD of 204, 166, 15, 642 on a calculator?

You can find the GCD of 204, 166, 15, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.