GCD of 516, 330, 144, 675 Calculator

Given Input numbers are 516, 330, 144, 675

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 516, 330, 144, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 330, 144, 675 is 3.

Therefore, GCD of numbers 516, 330, 144, 675 is 3

Given Input Data is 516, 330, 144, 675

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 330 is 2 x 3 x 5 x 11

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 675 is 3 x 3 x 3 x 5 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, 330) = 28380

GCD(516, 330) = ( 516 x 330 ) / 28380

GCD(516, 330) = 170280 / 28380

GCD(516, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 144

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

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

GCD(6, 144) = 864 / 144

GCD(6, 144) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 675

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

LCM(6, 675) = 1350

GCD(6, 675) = ( 6 x 675 ) / 1350

GCD(6, 675) = 4050 / 1350

GCD(6, 675) = 3

GCD of 516, 330, 144, 675 is 3

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1. What is the GCD of 516, 330, 144, 675?

GCD of 516, 330, 144, 675 is 3

2. Where do I get the detailed procedure to find GCD of 516, 330, 144, 675?

You can find a detailed procedure to find GCD of 516, 330, 144, 675 on our page.

3. How to find GCD of 516, 330, 144, 675 on a calculator?

You can find the GCD of 516, 330, 144, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.