GCD of 192, 462, 82, 784 Calculator

Given Input numbers are 192, 462, 82, 784

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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

Greatest Common Divisior

We found the divisors of 192, 462, 82, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 462, 82, 784 is 2.

Therefore, GCD of numbers 192, 462, 82, 784 is 2

Given Input Data is 192, 462, 82, 784

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 82 is 2 x 41

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

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(192, 462) = 14784

GCD(192, 462) = ( 192 x 462 ) / 14784

GCD(192, 462) = 88704 / 14784

GCD(192, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 192, 462, 82, 784 is 2

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1. What is the GCD of 192, 462, 82, 784?

GCD of 192, 462, 82, 784 is 2

2. Where do I get the detailed procedure to find GCD of 192, 462, 82, 784?

You can find a detailed procedure to find GCD of 192, 462, 82, 784 on our page.

3. How to find GCD of 192, 462, 82, 784 on a calculator?

You can find the GCD of 192, 462, 82, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.