GCD of 822, 792, 12, 140 Calculator

Given Input numbers are 822, 792, 12, 140

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 822, 792, 12, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 792, 12, 140 is 2.

Therefore, GCD of numbers 822, 792, 12, 140 is 2

Given Input Data is 822, 792, 12, 140

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 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 140 is 2 x 2 x 5 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(822, 792) = 108504

GCD(822, 792) = ( 822 x 792 ) / 108504

GCD(822, 792) = 651024 / 108504

GCD(822, 792) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 12

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

LCM(6, 12) = 12

GCD(6, 12) = ( 6 x 12 ) / 12

GCD(6, 12) = 72 / 12

GCD(6, 12) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 140

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

LCM(6, 140) = 420

GCD(6, 140) = ( 6 x 140 ) / 420

GCD(6, 140) = 840 / 420

GCD(6, 140) = 2

GCD of 822, 792, 12, 140 is 2

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1. What is the GCD of 822, 792, 12, 140?

GCD of 822, 792, 12, 140 is 2

2. Where do I get the detailed procedure to find GCD of 822, 792, 12, 140?

You can find a detailed procedure to find GCD of 822, 792, 12, 140 on our page.

3. How to find GCD of 822, 792, 12, 140 on a calculator?

You can find the GCD of 822, 792, 12, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.