GCD of 519, 144, 831, 660 Calculator

Given Input numbers are 519, 144, 831, 660

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

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 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 519, 144, 831, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 144, 831, 660 is 3.

Therefore, GCD of numbers 519, 144, 831, 660 is 3

Given Input Data is 519, 144, 831, 660

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

Prime Factorization of 519 is 3 x 173

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(519, 144) = 24912

GCD(519, 144) = ( 519 x 144 ) / 24912

GCD(519, 144) = 74736 / 24912

GCD(519, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 831

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

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

GCD(3, 831) = 2493 / 831

GCD(3, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 660

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

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

GCD(3, 660) = 1980 / 660

GCD(3, 660) = 3

GCD of 519, 144, 831, 660 is 3

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1. What is the GCD of 519, 144, 831, 660?

GCD of 519, 144, 831, 660 is 3

2. Where do I get the detailed procedure to find GCD of 519, 144, 831, 660?

You can find a detailed procedure to find GCD of 519, 144, 831, 660 on our page.

3. How to find GCD of 519, 144, 831, 660 on a calculator?

You can find the GCD of 519, 144, 831, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.