GCD of 404, 978, 454, 640 Calculator

Given Input numbers are 404, 978, 454, 640

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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

Greatest Common Divisior

We found the divisors of 404, 978, 454, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 978, 454, 640 is 2.

Therefore, GCD of numbers 404, 978, 454, 640 is 2

Given Input Data is 404, 978, 454, 640

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 454 is 2 x 227

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(404, 978) = 197556

GCD(404, 978) = ( 404 x 978 ) / 197556

GCD(404, 978) = 395112 / 197556

GCD(404, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

GCD of 404, 978, 454, 640 is 2

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1. What is the GCD of 404, 978, 454, 640?

GCD of 404, 978, 454, 640 is 2

2. Where do I get the detailed procedure to find GCD of 404, 978, 454, 640?

You can find a detailed procedure to find GCD of 404, 978, 454, 640 on our page.

3. How to find GCD of 404, 978, 454, 640 on a calculator?

You can find the GCD of 404, 978, 454, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.