GCD of 516, 500, 979 Calculator

Given Input numbers are 516, 500, 979

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 516, 500, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 500, 979 is 1.

Therefore, GCD of numbers 516, 500, 979 is 1

Given Input Data is 516, 500, 979

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 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 979 is 11 x 89

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, 500) = 64500

GCD(516, 500) = ( 516 x 500 ) / 64500

GCD(516, 500) = 258000 / 64500

GCD(516, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 979

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

LCM(4, 979) = 3916

GCD(4, 979) = ( 4 x 979 ) / 3916

GCD(4, 979) = 3916 / 3916

GCD(4, 979) = 1

GCD of 516, 500, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 964, 577
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1. What is the GCD of 516, 500, 979?

GCD of 516, 500, 979 is 1

2. Where do I get the detailed procedure to find GCD of 516, 500, 979?

You can find a detailed procedure to find GCD of 516, 500, 979 on our page.

3. How to find GCD of 516, 500, 979 on a calculator?

You can find the GCD of 516, 500, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.