GCD of 831, 627, 723, 996 Calculator

Given Input numbers are 831, 627, 723, 996

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

Divisors of 831

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

1, 3, 277, 831

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 831, 627, 723, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 627, 723, 996 is 3.

Therefore, GCD of numbers 831, 627, 723, 996 is 3

Given Input Data is 831, 627, 723, 996

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 723 is 3 x 241

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(831, 627) = 173679

GCD(831, 627) = ( 831 x 627 ) / 173679

GCD(831, 627) = 521037 / 173679

GCD(831, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 723

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

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

GCD(3, 723) = 2169 / 723

GCD(3, 723) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

GCD of 831, 627, 723, 996 is 3

Here are some samples of GCD of Numbers calculations.

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• GCD of 698, 978, 703, 890

1. What is the GCD of 831, 627, 723, 996?

GCD of 831, 627, 723, 996 is 3

2. Where do I get the detailed procedure to find GCD of 831, 627, 723, 996?

You can find a detailed procedure to find GCD of 831, 627, 723, 996 on our page.

3. How to find GCD of 831, 627, 723, 996 on a calculator?

You can find the GCD of 831, 627, 723, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.