GCD of 448, 789, 831, 216 Calculator

Given Input numbers are 448, 789, 831, 216

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 448, 789, 831, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 789, 831, 216 is 1.

Therefore, GCD of numbers 448, 789, 831, 216 is 1

Given Input Data is 448, 789, 831, 216

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 789 is 3 x 263

Prime Factorization of 831 is 3 x 277

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(448, 789) = 353472

GCD(448, 789) = ( 448 x 789 ) / 353472

GCD(448, 789) = 353472 / 353472

GCD(448, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 448, 789, 831, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 628, 769, 495
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• GCD of 519, 375, 890, 201

1. What is the GCD of 448, 789, 831, 216?

GCD of 448, 789, 831, 216 is 1

2. Where do I get the detailed procedure to find GCD of 448, 789, 831, 216?

You can find a detailed procedure to find GCD of 448, 789, 831, 216 on our page.

3. How to find GCD of 448, 789, 831, 216 on a calculator?

You can find the GCD of 448, 789, 831, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.