GCD of 19, 784, 284, 240 Calculator

Given Input numbers are 19, 784, 284, 240

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 19, 784, 284, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 784, 284, 240 is 1.

Therefore, GCD of numbers 19, 784, 284, 240 is 1

Given Input Data is 19, 784, 284, 240

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

Prime Factorization of 19 is 19

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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, 784) = 14896

GCD(19, 784) = ( 19 x 784 ) / 14896

GCD(19, 784) = 14896 / 14896

GCD(19, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 19, 784, 284, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 341, 136, 562
• GCD of 62, 288, 285, 931
• GCD of 42, 623, 855, 817
• GCD of 19, 961, 712, 278
• GCD of 40, 786, 675, 703

1. What is the GCD of 19, 784, 284, 240?

GCD of 19, 784, 284, 240 is 1

2. Where do I get the detailed procedure to find GCD of 19, 784, 284, 240?

You can find a detailed procedure to find GCD of 19, 784, 284, 240 on our page.

3. How to find GCD of 19, 784, 284, 240 on a calculator?

You can find the GCD of 19, 784, 284, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.