GCD of 563, 514, 820, 306 Calculator

Given Input numbers are 563, 514, 820, 306

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 563, 514, 820, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 514, 820, 306 is 1.

Therefore, GCD of numbers 563, 514, 820, 306 is 1

Given Input Data is 563, 514, 820, 306

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

Prime Factorization of 563 is 563

Prime Factorization of 514 is 2 x 257

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(563, 514) = 289382

GCD(563, 514) = ( 563 x 514 ) / 289382

GCD(563, 514) = 289382 / 289382

GCD(563, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 563, 514, 820, 306 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 563, 514, 820, 306?

GCD of 563, 514, 820, 306 is 1

2. Where do I get the detailed procedure to find GCD of 563, 514, 820, 306?

You can find a detailed procedure to find GCD of 563, 514, 820, 306 on our page.

3. How to find GCD of 563, 514, 820, 306 on a calculator?

You can find the GCD of 563, 514, 820, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.