GCD of 170, 100, 19, 318 Calculator

Given Input numbers are 170, 100, 19, 318

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

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 19

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

1, 19

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 170, 100, 19, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 100, 19, 318 is 1.

Therefore, GCD of numbers 170, 100, 19, 318 is 1

Given Input Data is 170, 100, 19, 318

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 19 is 19

Prime Factorization of 318 is 2 x 3 x 53

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(170, 100) = 1700

GCD(170, 100) = ( 170 x 100 ) / 1700

GCD(170, 100) = 17000 / 1700

GCD(170, 100) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 19

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

LCM(10, 19) = 190

GCD(10, 19) = ( 10 x 19 ) / 190

GCD(10, 19) = 190 / 190

GCD(10, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 170, 100, 19, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 140, 13, 474
• GCD of 657, 508, 51, 824
• GCD of 428, 962, 61, 968
• GCD of 134, 104, 32, 617
• GCD of 530, 727, 70, 323

1. What is the GCD of 170, 100, 19, 318?

GCD of 170, 100, 19, 318 is 1

2. Where do I get the detailed procedure to find GCD of 170, 100, 19, 318?

You can find a detailed procedure to find GCD of 170, 100, 19, 318 on our page.

3. How to find GCD of 170, 100, 19, 318 on a calculator?

You can find the GCD of 170, 100, 19, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.