GCD of 804, 880, 52, 366 Calculator

Given Input numbers are 804, 880, 52, 366

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 804, 880, 52, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 880, 52, 366 is 2.

Therefore, GCD of numbers 804, 880, 52, 366 is 2

Given Input Data is 804, 880, 52, 366

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 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 366 is 2 x 3 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 880) = 176880

GCD(804, 880) = ( 804 x 880 ) / 176880

GCD(804, 880) = 707520 / 176880

GCD(804, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 366

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

LCM(4, 366) = 732

GCD(4, 366) = ( 4 x 366 ) / 732

GCD(4, 366) = 1464 / 732

GCD(4, 366) = 2

GCD of 804, 880, 52, 366 is 2

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1. What is the GCD of 804, 880, 52, 366?

GCD of 804, 880, 52, 366 is 2

2. Where do I get the detailed procedure to find GCD of 804, 880, 52, 366?

You can find a detailed procedure to find GCD of 804, 880, 52, 366 on our page.

3. How to find GCD of 804, 880, 52, 366 on a calculator?

You can find the GCD of 804, 880, 52, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.