GCD of 756, 231, 831, 519 Calculator

Given Input numbers are 756, 231, 831, 519

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 831

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

1, 3, 277, 831

Divisors of 519

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

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 756, 231, 831, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 231, 831, 519 is 3.

Therefore, GCD of numbers 756, 231, 831, 519 is 3

Given Input Data is 756, 231, 831, 519

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 831 is 3 x 277

Prime Factorization of 519 is 3 x 173

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(756, 231) = 8316

GCD(756, 231) = ( 756 x 231 ) / 8316

GCD(756, 231) = 174636 / 8316

GCD(756, 231) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 831

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

LCM(21, 831) = 5817

GCD(21, 831) = ( 21 x 831 ) / 5817

GCD(21, 831) = 17451 / 5817

GCD(21, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 519

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

LCM(3, 519) = 519

GCD(3, 519) = ( 3 x 519 ) / 519

GCD(3, 519) = 1557 / 519

GCD(3, 519) = 3

GCD of 756, 231, 831, 519 is 3

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1. What is the GCD of 756, 231, 831, 519?

GCD of 756, 231, 831, 519 is 3

2. Where do I get the detailed procedure to find GCD of 756, 231, 831, 519?

You can find a detailed procedure to find GCD of 756, 231, 831, 519 on our page.

3. How to find GCD of 756, 231, 831, 519 on a calculator?

You can find the GCD of 756, 231, 831, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.