GCD of 563, 516, 103, 660 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 563, 516, 103, 660 i.e. 1 largest integer that divides all the numbers equally.

GCD of 563, 516, 103, 660 is 1

GCD(563, 516, 103, 660) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 563, 516, 103, 660 is 1

GCD(563, 516, 103, 660) = 1

GCD of 563,516,103,660 Calculator

GCDof 563,516,103,660 is 1

Given Input numbers are 563, 516, 103, 660

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 563, 516, 103, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 516, 103, 660 is 1.

Therefore, GCD of numbers 563, 516, 103, 660 is 1

Finding GCD of 563, 516, 103, 660 using Prime Factorization

Given Input Data is 563, 516, 103, 660

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

Prime Factorization of 563 is 563

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 103 is 103

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 563, 516, 103, 660 using LCM Formula

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(563, 516) = 290508

GCD(563, 516) = ( 563 x 516 ) / 290508

GCD(563, 516) = 290508 / 290508

GCD(563, 516) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 563, 516, 103, 660 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 563, 516, 103, 660

1. What is the GCD of 563, 516, 103, 660?

GCD of 563, 516, 103, 660 is 1


2. Where do I get the detailed procedure to find GCD of 563, 516, 103, 660?

You can find a detailed procedure to find GCD of 563, 516, 103, 660 on our page.


3. How to find GCD of 563, 516, 103, 660 on a calculator?

You can find the GCD of 563, 516, 103, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.