GCD of 864, 636, 32, 854 Calculator

Given Input numbers are 864, 636, 32, 854

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

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 854

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

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

Greatest Common Divisior

We found the divisors of 864, 636, 32, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 636, 32, 854 is 2.

Therefore, GCD of numbers 864, 636, 32, 854 is 2

Given Input Data is 864, 636, 32, 854

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 854 is 2 x 7 x 61

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(864, 636) = 45792

GCD(864, 636) = ( 864 x 636 ) / 45792

GCD(864, 636) = 549504 / 45792

GCD(864, 636) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 32

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

LCM(12, 32) = 96

GCD(12, 32) = ( 12 x 32 ) / 96

GCD(12, 32) = 384 / 96

GCD(12, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 854

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

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

GCD(4, 854) = 3416 / 1708

GCD(4, 854) = 2

GCD of 864, 636, 32, 854 is 2

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1. What is the GCD of 864, 636, 32, 854?

GCD of 864, 636, 32, 854 is 2

2. Where do I get the detailed procedure to find GCD of 864, 636, 32, 854?

You can find a detailed procedure to find GCD of 864, 636, 32, 854 on our page.

3. How to find GCD of 864, 636, 32, 854 on a calculator?

You can find the GCD of 864, 636, 32, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.