GCD of 305, 560, 713, 472 Calculator

Given Input numbers are 305, 560, 713, 472

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 305, 560, 713, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 560, 713, 472 is 1.

Therefore, GCD of numbers 305, 560, 713, 472 is 1

Given Input Data is 305, 560, 713, 472

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

Prime Factorization of 305 is 5 x 61

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(305, 560) = 34160

GCD(305, 560) = ( 305 x 560 ) / 34160

GCD(305, 560) = 170800 / 34160

GCD(305, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 713

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

LCM(5, 713) = 3565

GCD(5, 713) = ( 5 x 713 ) / 3565

GCD(5, 713) = 3565 / 3565

GCD(5, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 305, 560, 713, 472 is 1

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1. What is the GCD of 305, 560, 713, 472?

GCD of 305, 560, 713, 472 is 1

2. Where do I get the detailed procedure to find GCD of 305, 560, 713, 472?

You can find a detailed procedure to find GCD of 305, 560, 713, 472 on our page.

3. How to find GCD of 305, 560, 713, 472 on a calculator?

You can find the GCD of 305, 560, 713, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.