GCD of 822, 682, 24 Calculator

Given Input numbers are 822, 682, 24

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 822, 682, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 682, 24 is 2.

Therefore, GCD of numbers 822, 682, 24 is 2

Given Input Data is 822, 682, 24

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(822, 682) = 280302

GCD(822, 682) = ( 822 x 682 ) / 280302

GCD(822, 682) = 560604 / 280302

GCD(822, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

GCD of 822, 682, 24 is 2

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1. What is the GCD of 822, 682, 24?

GCD of 822, 682, 24 is 2

2. Where do I get the detailed procedure to find GCD of 822, 682, 24?

You can find a detailed procedure to find GCD of 822, 682, 24 on our page.

3. How to find GCD of 822, 682, 24 on a calculator?

You can find the GCD of 822, 682, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.