GCD of 264, 872, 14, 113 Calculator

Given Input numbers are 264, 872, 14, 113

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

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 14

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

1, 2, 7, 14

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 264, 872, 14, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 872, 14, 113 is 1.

Therefore, GCD of numbers 264, 872, 14, 113 is 1

Given Input Data is 264, 872, 14, 113

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 14 is 2 x 7

Prime Factorization of 113 is 113

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(264, 872) = 28776

GCD(264, 872) = ( 264 x 872 ) / 28776

GCD(264, 872) = 230208 / 28776

GCD(264, 872) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 14

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

LCM(8, 14) = 56

GCD(8, 14) = ( 8 x 14 ) / 56

GCD(8, 14) = 112 / 56

GCD(8, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 264, 872, 14, 113 is 1

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1. What is the GCD of 264, 872, 14, 113?

GCD of 264, 872, 14, 113 is 1

2. Where do I get the detailed procedure to find GCD of 264, 872, 14, 113?

You can find a detailed procedure to find GCD of 264, 872, 14, 113 on our page.

3. How to find GCD of 264, 872, 14, 113 on a calculator?

You can find the GCD of 264, 872, 14, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.