GCD of 243, 473, 820, 516 Calculator

Given Input numbers are 243, 473, 820, 516

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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 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

Greatest Common Divisior

We found the divisors of 243, 473, 820, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 473, 820, 516 is 1.

Therefore, GCD of numbers 243, 473, 820, 516 is 1

Given Input Data is 243, 473, 820, 516

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 473 is 11 x 43

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

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

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(243, 473) = 114939

GCD(243, 473) = ( 243 x 473 ) / 114939

GCD(243, 473) = 114939 / 114939

GCD(243, 473) = 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 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 243, 473, 820, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 955, 790, 818
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• GCD of 239, 587, 891, 644

1. What is the GCD of 243, 473, 820, 516?

GCD of 243, 473, 820, 516 is 1

2. Where do I get the detailed procedure to find GCD of 243, 473, 820, 516?

You can find a detailed procedure to find GCD of 243, 473, 820, 516 on our page.

3. How to find GCD of 243, 473, 820, 516 on a calculator?

You can find the GCD of 243, 473, 820, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.