GCD of 490, 256, 474, 325 Calculator

Given Input numbers are 490, 256, 474, 325

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 474

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

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 490, 256, 474, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 256, 474, 325 is 1.

Therefore, GCD of numbers 490, 256, 474, 325 is 1

Given Input Data is 490, 256, 474, 325

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 325 is 5 x 5 x 13

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(490, 256) = 62720

GCD(490, 256) = ( 490 x 256 ) / 62720

GCD(490, 256) = 125440 / 62720

GCD(490, 256) = 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 325

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

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

GCD(2, 325) = 650 / 650

GCD(2, 325) = 1

GCD of 490, 256, 474, 325 is 1

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1. What is the GCD of 490, 256, 474, 325?

GCD of 490, 256, 474, 325 is 1

2. Where do I get the detailed procedure to find GCD of 490, 256, 474, 325?

You can find a detailed procedure to find GCD of 490, 256, 474, 325 on our page.

3. How to find GCD of 490, 256, 474, 325 on a calculator?

You can find the GCD of 490, 256, 474, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.