GCD of 318, 854, 16, 864 Calculator

Given Input numbers are 318, 854, 16, 864

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 318, 854, 16, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 854, 16, 864 is 2.

Therefore, GCD of numbers 318, 854, 16, 864 is 2

Given Input Data is 318, 854, 16, 864

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 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(318, 854) = 135786

GCD(318, 854) = ( 318 x 854 ) / 135786

GCD(318, 854) = 271572 / 135786

GCD(318, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 318, 854, 16, 864 is 2

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1. What is the GCD of 318, 854, 16, 864?

GCD of 318, 854, 16, 864 is 2

2. Where do I get the detailed procedure to find GCD of 318, 854, 16, 864?

You can find a detailed procedure to find GCD of 318, 854, 16, 864 on our page.

3. How to find GCD of 318, 854, 16, 864 on a calculator?

You can find the GCD of 318, 854, 16, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.