GCD of 574, 960, 325, 488 Calculator

Given Input numbers are 574, 960, 325, 488

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 325

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

1, 5, 13, 25, 65, 325

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 574, 960, 325, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 960, 325, 488 is 1.

Therefore, GCD of numbers 574, 960, 325, 488 is 1

Given Input Data is 574, 960, 325, 488

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(574, 960) = 275520

GCD(574, 960) = ( 574 x 960 ) / 275520

GCD(574, 960) = 551040 / 275520

GCD(574, 960) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 574, 960, 325, 488 is 1

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1. What is the GCD of 574, 960, 325, 488?

GCD of 574, 960, 325, 488 is 1

2. Where do I get the detailed procedure to find GCD of 574, 960, 325, 488?

You can find a detailed procedure to find GCD of 574, 960, 325, 488 on our page.

3. How to find GCD of 574, 960, 325, 488 on a calculator?

You can find the GCD of 574, 960, 325, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.