GCD of 19, 638, 814, 174 Calculator

Given Input numbers are 19, 638, 814, 174

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 638

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

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 19, 638, 814, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 638, 814, 174 is 1.

Therefore, GCD of numbers 19, 638, 814, 174 is 1

Given Input Data is 19, 638, 814, 174

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

Prime Factorization of 19 is 19

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 174 is 2 x 3 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(19, 638) = 12122

GCD(19, 638) = ( 19 x 638 ) / 12122

GCD(19, 638) = 12122 / 12122

GCD(19, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 19, 638, 814, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 148, 374, 340
• GCD of 99, 211, 168, 397
• GCD of 90, 824, 541, 930
• GCD of 73, 911, 714, 168
• GCD of 76, 534, 433, 214

1. What is the GCD of 19, 638, 814, 174?

GCD of 19, 638, 814, 174 is 1

2. Where do I get the detailed procedure to find GCD of 19, 638, 814, 174?

You can find a detailed procedure to find GCD of 19, 638, 814, 174 on our page.

3. How to find GCD of 19, 638, 814, 174 on a calculator?

You can find the GCD of 19, 638, 814, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.