GCD of 518, 800, 47, 143 Calculator

Given Input numbers are 518, 800, 47, 143

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

Divisors of 518

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

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 518, 800, 47, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 800, 47, 143 is 1.

Therefore, GCD of numbers 518, 800, 47, 143 is 1

Given Input Data is 518, 800, 47, 143

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 47 is 47

Prime Factorization of 143 is 11 x 13

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(518, 800) = 207200

GCD(518, 800) = ( 518 x 800 ) / 207200

GCD(518, 800) = 414400 / 207200

GCD(518, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 518, 800, 47, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 148, 39, 348
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• GCD of 724, 763, 59, 648

1. What is the GCD of 518, 800, 47, 143?

GCD of 518, 800, 47, 143 is 1

2. Where do I get the detailed procedure to find GCD of 518, 800, 47, 143?

You can find a detailed procedure to find GCD of 518, 800, 47, 143 on our page.

3. How to find GCD of 518, 800, 47, 143 on a calculator?

You can find the GCD of 518, 800, 47, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.