GCD of 48, 516, 868, 831 Calculator

Given Input numbers are 48, 516, 868, 831

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 831

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

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 48, 516, 868, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 516, 868, 831 is 1.

Therefore, GCD of numbers 48, 516, 868, 831 is 1

Given Input Data is 48, 516, 868, 831

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 831 is 3 x 277

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(48, 516) = 2064

GCD(48, 516) = ( 48 x 516 ) / 2064

GCD(48, 516) = 24768 / 2064

GCD(48, 516) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 868

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

LCM(12, 868) = 2604

GCD(12, 868) = ( 12 x 868 ) / 2604

GCD(12, 868) = 10416 / 2604

GCD(12, 868) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 831

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

LCM(4, 831) = 3324

GCD(4, 831) = ( 4 x 831 ) / 3324

GCD(4, 831) = 3324 / 3324

GCD(4, 831) = 1

GCD of 48, 516, 868, 831 is 1

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• GCD of 61, 508, 785, 462

1. What is the GCD of 48, 516, 868, 831?

GCD of 48, 516, 868, 831 is 1

2. Where do I get the detailed procedure to find GCD of 48, 516, 868, 831?

You can find a detailed procedure to find GCD of 48, 516, 868, 831 on our page.

3. How to find GCD of 48, 516, 868, 831 on a calculator?

You can find the GCD of 48, 516, 868, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.