GCD of 204, 860, 15, 638 Calculator

Given Input numbers are 204, 860, 15, 638

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 15

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

1, 3, 5, 15

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 204, 860, 15, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 860, 15, 638 is 1.

Therefore, GCD of numbers 204, 860, 15, 638 is 1

Given Input Data is 204, 860, 15, 638

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 860 is 2 x 2 x 5 x 43

Prime Factorization of 15 is 3 x 5

Prime Factorization of 638 is 2 x 11 x 29

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, 860) = 43860

GCD(204, 860) = ( 204 x 860 ) / 43860

GCD(204, 860) = 175440 / 43860

GCD(204, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 204, 860, 15, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 129, 16, 711
• GCD of 576, 574, 87, 100
• GCD of 729, 633, 78, 501
• GCD of 507, 499, 84, 324
• GCD of 515, 795, 41, 921

1. What is the GCD of 204, 860, 15, 638?

GCD of 204, 860, 15, 638 is 1

2. Where do I get the detailed procedure to find GCD of 204, 860, 15, 638?

You can find a detailed procedure to find GCD of 204, 860, 15, 638 on our page.

3. How to find GCD of 204, 860, 15, 638 on a calculator?

You can find the GCD of 204, 860, 15, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.