GCD of 784, 808, 462 Calculator

Given Input numbers are 784, 808, 462

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 784, 808, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 808, 462 is 2.

Therefore, GCD of numbers 784, 808, 462 is 2

Given Input Data is 784, 808, 462

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 808 is 2 x 2 x 2 x 101

Prime Factorization of 462 is 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 808) = 79184

GCD(784, 808) = ( 784 x 808 ) / 79184

GCD(784, 808) = 633472 / 79184

GCD(784, 808) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 462

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

LCM(8, 462) = 1848

GCD(8, 462) = ( 8 x 462 ) / 1848

GCD(8, 462) = 3696 / 1848

GCD(8, 462) = 2

GCD of 784, 808, 462 is 2

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1. What is the GCD of 784, 808, 462?

GCD of 784, 808, 462 is 2

2. Where do I get the detailed procedure to find GCD of 784, 808, 462?

You can find a detailed procedure to find GCD of 784, 808, 462 on our page.

3. How to find GCD of 784, 808, 462 on a calculator?

You can find the GCD of 784, 808, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.