GCD of 19, 170, 231, 675 Calculator

Given Input numbers are 19, 170, 231, 675

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 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 19, 170, 231, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 170, 231, 675 is 1.

Therefore, GCD of numbers 19, 170, 231, 675 is 1

Given Input Data is 19, 170, 231, 675

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

Prime Factorization of 19 is 19

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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, 170) = 3230

GCD(19, 170) = ( 19 x 170 ) / 3230

GCD(19, 170) = 3230 / 3230

GCD(19, 170) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 19, 170, 231, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 341, 182, 365
• GCD of 21, 643, 873, 523
• GCD of 91, 222, 331, 594
• GCD of 71, 390, 119, 966
• GCD of 25, 762, 627, 382

1. What is the GCD of 19, 170, 231, 675?

GCD of 19, 170, 231, 675 is 1

2. Where do I get the detailed procedure to find GCD of 19, 170, 231, 675?

You can find a detailed procedure to find GCD of 19, 170, 231, 675 on our page.

3. How to find GCD of 19, 170, 231, 675 on a calculator?

You can find the GCD of 19, 170, 231, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.