GCD of 668, 468, 40, 804 Calculator

Given Input numbers are 668, 468, 40, 804

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

Divisors of 668

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

1, 2, 4, 167, 334, 668

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 668, 468, 40, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 468, 40, 804 is 4.

Therefore, GCD of numbers 668, 468, 40, 804 is 4

Given Input Data is 668, 468, 40, 804

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(668, 468) = 78156

GCD(668, 468) = ( 668 x 468 ) / 78156

GCD(668, 468) = 312624 / 78156

GCD(668, 468) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 804

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

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

GCD(4, 804) = 3216 / 804

GCD(4, 804) = 4

GCD of 668, 468, 40, 804 is 4

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1. What is the GCD of 668, 468, 40, 804?

GCD of 668, 468, 40, 804 is 4

2. Where do I get the detailed procedure to find GCD of 668, 468, 40, 804?

You can find a detailed procedure to find GCD of 668, 468, 40, 804 on our page.

3. How to find GCD of 668, 468, 40, 804 on a calculator?

You can find the GCD of 668, 468, 40, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.