GCD of 784, 856, 89, 439 Calculator

Given Input numbers are 784, 856, 89, 439

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

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

Greatest Common Divisior

We found the divisors of 784, 856, 89, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 856, 89, 439 is 1.

Therefore, GCD of numbers 784, 856, 89, 439 is 1

Given Input Data is 784, 856, 89, 439

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

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 89 is 89

Prime Factorization of 439 is 439

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(784, 856) = 83888

GCD(784, 856) = ( 784 x 856 ) / 83888

GCD(784, 856) = 671104 / 83888

GCD(784, 856) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 89

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

LCM(8, 89) = 712

GCD(8, 89) = ( 8 x 89 ) / 712

GCD(8, 89) = 712 / 712

GCD(8, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 439

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

LCM(1, 439) = 439

GCD(1, 439) = ( 1 x 439 ) / 439

GCD(1, 439) = 439 / 439

GCD(1, 439) = 1

GCD of 784, 856, 89, 439 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 604, 69, 400
• GCD of 180, 663, 16, 330
• GCD of 718, 784, 93, 794
• GCD of 228, 889, 12, 757
• GCD of 653, 828, 55, 636

1. What is the GCD of 784, 856, 89, 439?

GCD of 784, 856, 89, 439 is 1

2. Where do I get the detailed procedure to find GCD of 784, 856, 89, 439?

You can find a detailed procedure to find GCD of 784, 856, 89, 439 on our page.

3. How to find GCD of 784, 856, 89, 439 on a calculator?

You can find the GCD of 784, 856, 89, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.