GCD of 290, 256, 480, 327 Calculator

Given Input numbers are 290, 256, 480, 327

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

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 290, 256, 480, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 256, 480, 327 is 1.

Therefore, GCD of numbers 290, 256, 480, 327 is 1

Given Input Data is 290, 256, 480, 327

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 327 is 3 x 109

The above numbers do not have any common prime factor. So GCD is 1

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(290, 256) = 37120

GCD(290, 256) = ( 290 x 256 ) / 37120

GCD(290, 256) = 74240 / 37120

GCD(290, 256) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 1

GCD of 290, 256, 480, 327 is 1

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1. What is the GCD of 290, 256, 480, 327?

GCD of 290, 256, 480, 327 is 1

2. Where do I get the detailed procedure to find GCD of 290, 256, 480, 327?

You can find a detailed procedure to find GCD of 290, 256, 480, 327 on our page.

3. How to find GCD of 290, 256, 480, 327 on a calculator?

You can find the GCD of 290, 256, 480, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.