GCD of 783, 864, 27, 852 Calculator

Given Input numbers are 783, 864, 27, 852

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

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 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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

Greatest Common Divisior

We found the divisors of 783, 864, 27, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 864, 27, 852 is 3.

Therefore, GCD of numbers 783, 864, 27, 852 is 3

Given Input Data is 783, 864, 27, 852

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(783, 864) = 25056

GCD(783, 864) = ( 783 x 864 ) / 25056

GCD(783, 864) = 676512 / 25056

GCD(783, 864) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 27

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

LCM(27, 27) = 27

GCD(27, 27) = ( 27 x 27 ) / 27

GCD(27, 27) = 729 / 27

GCD(27, 27) = 27

Step3:

Here we consider the GCD from the above i.e. 27 as first number and the next as 852

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

LCM(27, 852) = 7668

GCD(27, 852) = ( 27 x 852 ) / 7668

GCD(27, 852) = 23004 / 7668

GCD(27, 852) = 3

GCD of 783, 864, 27, 852 is 3

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1. What is the GCD of 783, 864, 27, 852?

GCD of 783, 864, 27, 852 is 3

2. Where do I get the detailed procedure to find GCD of 783, 864, 27, 852?

You can find a detailed procedure to find GCD of 783, 864, 27, 852 on our page.

3. How to find GCD of 783, 864, 27, 852 on a calculator?

You can find the GCD of 783, 864, 27, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.