GCD of 804, 366, 668, 732 Calculator

Given Input numbers are 804, 366, 668, 732

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 366

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

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 804, 366, 668, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 366, 668, 732 is 2.

Therefore, GCD of numbers 804, 366, 668, 732 is 2

Given Input Data is 804, 366, 668, 732

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 366 is 2 x 3 x 61

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 732 is 2 x 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, 366) = 49044

GCD(804, 366) = ( 804 x 366 ) / 49044

GCD(804, 366) = 294264 / 49044

GCD(804, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 668

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

LCM(6, 668) = 2004

GCD(6, 668) = ( 6 x 668 ) / 2004

GCD(6, 668) = 4008 / 2004

GCD(6, 668) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 804, 366, 668, 732 is 2

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1. What is the GCD of 804, 366, 668, 732?

GCD of 804, 366, 668, 732 is 2

2. Where do I get the detailed procedure to find GCD of 804, 366, 668, 732?

You can find a detailed procedure to find GCD of 804, 366, 668, 732 on our page.

3. How to find GCD of 804, 366, 668, 732 on a calculator?

You can find the GCD of 804, 366, 668, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.