GCD of 577, 728, 560, 318 Calculator

Given Input numbers are 577, 728, 560, 318

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 577, 728, 560, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 728, 560, 318 is 1.

Therefore, GCD of numbers 577, 728, 560, 318 is 1

Given Input Data is 577, 728, 560, 318

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

Prime Factorization of 577 is 577

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 318 is 2 x 3 x 53

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(577, 728) = 420056

GCD(577, 728) = ( 577 x 728 ) / 420056

GCD(577, 728) = 420056 / 420056

GCD(577, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 577, 728, 560, 318 is 1

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1. What is the GCD of 577, 728, 560, 318?

GCD of 577, 728, 560, 318 is 1

2. Where do I get the detailed procedure to find GCD of 577, 728, 560, 318?

You can find a detailed procedure to find GCD of 577, 728, 560, 318 on our page.

3. How to find GCD of 577, 728, 560, 318 on a calculator?

You can find the GCD of 577, 728, 560, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.