GCD of 687, 444, 75, 216 Calculator

Given Input numbers are 687, 444, 75, 216

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 687, 444, 75, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 444, 75, 216 is 3.

Therefore, GCD of numbers 687, 444, 75, 216 is 3

Given Input Data is 687, 444, 75, 216

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(687, 444) = 101676

GCD(687, 444) = ( 687 x 444 ) / 101676

GCD(687, 444) = 305028 / 101676

GCD(687, 444) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

GCD of 687, 444, 75, 216 is 3

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1. What is the GCD of 687, 444, 75, 216?

GCD of 687, 444, 75, 216 is 3

2. Where do I get the detailed procedure to find GCD of 687, 444, 75, 216?

You can find a detailed procedure to find GCD of 687, 444, 75, 216 on our page.

3. How to find GCD of 687, 444, 75, 216 on a calculator?

You can find the GCD of 687, 444, 75, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.