GCD of 516, 470, 143, 589 Calculator

Given Input numbers are 516, 470, 143, 589

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

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 143

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

1, 11, 13, 143

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 516, 470, 143, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 470, 143, 589 is 1.

Therefore, GCD of numbers 516, 470, 143, 589 is 1

Given Input Data is 516, 470, 143, 589

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

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 143 is 11 x 13

Prime Factorization of 589 is 19 x 31

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(516, 470) = 121260

GCD(516, 470) = ( 516 x 470 ) / 121260

GCD(516, 470) = 242520 / 121260

GCD(516, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 143

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

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

GCD(2, 143) = 286 / 286

GCD(2, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 516, 470, 143, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 141, 277, 218
• GCD of 473, 339, 264, 304
• GCD of 941, 577, 335, 230
• GCD of 245, 837, 851, 755
• GCD of 798, 644, 981, 469

1. What is the GCD of 516, 470, 143, 589?

GCD of 516, 470, 143, 589 is 1

2. Where do I get the detailed procedure to find GCD of 516, 470, 143, 589?

You can find a detailed procedure to find GCD of 516, 470, 143, 589 on our page.

3. How to find GCD of 516, 470, 143, 589 on a calculator?

You can find the GCD of 516, 470, 143, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.