GCD of 516, 939, 270 Calculator

Given Input numbers are 516, 939, 270

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 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 516, 939, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 939, 270 is 3.

Therefore, GCD of numbers 516, 939, 270 is 3

Given Input Data is 516, 939, 270

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 939 is 3 x 313

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 939) = 161508

GCD(516, 939) = ( 516 x 939 ) / 161508

GCD(516, 939) = 484524 / 161508

GCD(516, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 270

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

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

GCD(3, 270) = 810 / 270

GCD(3, 270) = 3

GCD of 516, 939, 270 is 3

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1. What is the GCD of 516, 939, 270?

GCD of 516, 939, 270 is 3

2. Where do I get the detailed procedure to find GCD of 516, 939, 270?

You can find a detailed procedure to find GCD of 516, 939, 270 on our page.

3. How to find GCD of 516, 939, 270 on a calculator?

You can find the GCD of 516, 939, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.