GCD of 200, 473, 711, 518 Calculator

Given Input numbers are 200, 473, 711, 518

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 473

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

1, 11, 43, 473

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 200, 473, 711, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 473, 711, 518 is 1.

Therefore, GCD of numbers 200, 473, 711, 518 is 1

Given Input Data is 200, 473, 711, 518

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 473 is 11 x 43

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 518 is 2 x 7 x 37

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(200, 473) = 94600

GCD(200, 473) = ( 200 x 473 ) / 94600

GCD(200, 473) = 94600 / 94600

GCD(200, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 200, 473, 711, 518 is 1

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1. What is the GCD of 200, 473, 711, 518?

GCD of 200, 473, 711, 518 is 1

2. Where do I get the detailed procedure to find GCD of 200, 473, 711, 518?

You can find a detailed procedure to find GCD of 200, 473, 711, 518 on our page.

3. How to find GCD of 200, 473, 711, 518 on a calculator?

You can find the GCD of 200, 473, 711, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.