GCD of 804, 234, 87, 108 Calculator

Given Input numbers are 804, 234, 87, 108

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 804, 234, 87, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 234, 87, 108 is 3.

Therefore, GCD of numbers 804, 234, 87, 108 is 3

Given Input Data is 804, 234, 87, 108

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 108 is 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(804, 234) = 31356

GCD(804, 234) = ( 804 x 234 ) / 31356

GCD(804, 234) = 188136 / 31356

GCD(804, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 108

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

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

GCD(3, 108) = 324 / 108

GCD(3, 108) = 3

GCD of 804, 234, 87, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 172, 74, 545
• GCD of 711, 261, 96, 277
• GCD of 240, 302, 46, 229
• GCD of 170, 588, 20, 822
• GCD of 575, 239, 96, 549

1. What is the GCD of 804, 234, 87, 108?

GCD of 804, 234, 87, 108 is 3

2. Where do I get the detailed procedure to find GCD of 804, 234, 87, 108?

You can find a detailed procedure to find GCD of 804, 234, 87, 108 on our page.

3. How to find GCD of 804, 234, 87, 108 on a calculator?

You can find the GCD of 804, 234, 87, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.