GCD of 282, 852, 14, 264 Calculator

Given Input numbers are 282, 852, 14, 264

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 282, 852, 14, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 852, 14, 264 is 2.

Therefore, GCD of numbers 282, 852, 14, 264 is 2

Given Input Data is 282, 852, 14, 264

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 14 is 2 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 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(282, 852) = 40044

GCD(282, 852) = ( 282 x 852 ) / 40044

GCD(282, 852) = 240264 / 40044

GCD(282, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 282, 852, 14, 264 is 2

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1. What is the GCD of 282, 852, 14, 264?

GCD of 282, 852, 14, 264 is 2

2. Where do I get the detailed procedure to find GCD of 282, 852, 14, 264?

You can find a detailed procedure to find GCD of 282, 852, 14, 264 on our page.

3. How to find GCD of 282, 852, 14, 264 on a calculator?

You can find the GCD of 282, 852, 14, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.