GCD of 664, 640, 382 Calculator

Given Input numbers are 664, 640, 382

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 664, 640, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 640, 382 is 2.

Therefore, GCD of numbers 664, 640, 382 is 2

Given Input Data is 664, 640, 382

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 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 382 is 2 x 191

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, 640) = 53120

GCD(664, 640) = ( 664 x 640 ) / 53120

GCD(664, 640) = 424960 / 53120

GCD(664, 640) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 382

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

LCM(8, 382) = 1528

GCD(8, 382) = ( 8 x 382 ) / 1528

GCD(8, 382) = 3056 / 1528

GCD(8, 382) = 2

GCD of 664, 640, 382 is 2

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1. What is the GCD of 664, 640, 382?

GCD of 664, 640, 382 is 2

2. Where do I get the detailed procedure to find GCD of 664, 640, 382?

You can find a detailed procedure to find GCD of 664, 640, 382 on our page.

3. How to find GCD of 664, 640, 382 on a calculator?

You can find the GCD of 664, 640, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.