GCD of 222, 831, 744 Calculator

Given Input numbers are 222, 831, 744

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 831

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

1, 3, 277, 831

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 222, 831, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 831, 744 is 3.

Therefore, GCD of numbers 222, 831, 744 is 3

Given Input Data is 222, 831, 744

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 831 is 3 x 277

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(222, 831) = 61494

GCD(222, 831) = ( 222 x 831 ) / 61494

GCD(222, 831) = 184482 / 61494

GCD(222, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 744

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

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

GCD(3, 744) = 2232 / 744

GCD(3, 744) = 3

GCD of 222, 831, 744 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 444, 806
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1. What is the GCD of 222, 831, 744?

GCD of 222, 831, 744 is 3

2. Where do I get the detailed procedure to find GCD of 222, 831, 744?

You can find a detailed procedure to find GCD of 222, 831, 744 on our page.

3. How to find GCD of 222, 831, 744 on a calculator?

You can find the GCD of 222, 831, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.