GCD of 282, 156, 23, 796 Calculator

Given Input numbers are 282, 156, 23, 796

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 282, 156, 23, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 156, 23, 796 is 1.

Therefore, GCD of numbers 282, 156, 23, 796 is 1

Given Input Data is 282, 156, 23, 796

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 23 is 23

Prime Factorization of 796 is 2 x 2 x 199

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(282, 156) = 7332

GCD(282, 156) = ( 282 x 156 ) / 7332

GCD(282, 156) = 43992 / 7332

GCD(282, 156) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 23

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

LCM(6, 23) = 138

GCD(6, 23) = ( 6 x 23 ) / 138

GCD(6, 23) = 138 / 138

GCD(6, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 282, 156, 23, 796 is 1

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1. What is the GCD of 282, 156, 23, 796?

GCD of 282, 156, 23, 796 is 1

2. Where do I get the detailed procedure to find GCD of 282, 156, 23, 796?

You can find a detailed procedure to find GCD of 282, 156, 23, 796 on our page.

3. How to find GCD of 282, 156, 23, 796 on a calculator?

You can find the GCD of 282, 156, 23, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.