GCD of 664, 290, 474, 408 Calculator

Given Input numbers are 664, 290, 474, 408

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 664, 290, 474, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 290, 474, 408 is 2.

Therefore, GCD of numbers 664, 290, 474, 408 is 2

Given Input Data is 664, 290, 474, 408

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(664, 290) = 96280

GCD(664, 290) = ( 664 x 290 ) / 96280

GCD(664, 290) = 192560 / 96280

GCD(664, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 664, 290, 474, 408 is 2

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1. What is the GCD of 664, 290, 474, 408?

GCD of 664, 290, 474, 408 is 2

2. Where do I get the detailed procedure to find GCD of 664, 290, 474, 408?

You can find a detailed procedure to find GCD of 664, 290, 474, 408 on our page.

3. How to find GCD of 664, 290, 474, 408 on a calculator?

You can find the GCD of 664, 290, 474, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.