GCD of 313, 797, 16, 560 Calculator

Given Input numbers are 313, 797, 16, 560

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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

Greatest Common Divisior

We found the divisors of 313, 797, 16, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 797, 16, 560 is 1.

Therefore, GCD of numbers 313, 797, 16, 560 is 1

Given Input Data is 313, 797, 16, 560

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

Prime Factorization of 313 is 313

Prime Factorization of 797 is 797

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

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(313, 797) = 249461

GCD(313, 797) = ( 313 x 797 ) / 249461

GCD(313, 797) = 249461 / 249461

GCD(313, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

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

GCD of 313, 797, 16, 560 is 1

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1. What is the GCD of 313, 797, 16, 560?

GCD of 313, 797, 16, 560 is 1

2. Where do I get the detailed procedure to find GCD of 313, 797, 16, 560?

You can find a detailed procedure to find GCD of 313, 797, 16, 560 on our page.

3. How to find GCD of 313, 797, 16, 560 on a calculator?

You can find the GCD of 313, 797, 16, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.