GCD of 804, 416, 109 Calculator

Given Input numbers are 804, 416, 109

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 804, 416, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 416, 109 is 1.

Therefore, GCD of numbers 804, 416, 109 is 1

Given Input Data is 804, 416, 109

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 109 is 109

The above numbers do not have any common prime factor. So GCD is 1

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, 416) = 83616

GCD(804, 416) = ( 804 x 416 ) / 83616

GCD(804, 416) = 334464 / 83616

GCD(804, 416) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 109

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

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

GCD(4, 109) = 436 / 436

GCD(4, 109) = 1

GCD of 804, 416, 109 is 1

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1. What is the GCD of 804, 416, 109?

GCD of 804, 416, 109 is 1

2. Where do I get the detailed procedure to find GCD of 804, 416, 109?

You can find a detailed procedure to find GCD of 804, 416, 109 on our page.

3. How to find GCD of 804, 416, 109 on a calculator?

You can find the GCD of 804, 416, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.