GCD of 234, 804, 624 Calculator

Given Input numbers are 234, 804, 624

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

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 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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 234, 804, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 804, 624 is 6.

Therefore, GCD of numbers 234, 804, 624 is 6

Given Input Data is 234, 804, 624

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

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

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(234, 804) = 31356

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

GCD(234, 804) = 188136 / 31356

GCD(234, 804) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 624

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

LCM(6, 624) = 624

GCD(6, 624) = ( 6 x 624 ) / 624

GCD(6, 624) = 3744 / 624

GCD(6, 624) = 6

GCD of 234, 804, 624 is 6

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1. What is the GCD of 234, 804, 624?

GCD of 234, 804, 624 is 6

2. Where do I get the detailed procedure to find GCD of 234, 804, 624?

You can find a detailed procedure to find GCD of 234, 804, 624 on our page.

3. How to find GCD of 234, 804, 624 on a calculator?

You can find the GCD of 234, 804, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.