GCD of 711, 282, 468, 444 Calculator

Given Input numbers are 711, 282, 468, 444

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 711, 282, 468, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 282, 468, 444 is 3.

Therefore, GCD of numbers 711, 282, 468, 444 is 3

Given Input Data is 711, 282, 468, 444

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(711, 282) = 66834

GCD(711, 282) = ( 711 x 282 ) / 66834

GCD(711, 282) = 200502 / 66834

GCD(711, 282) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 468

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

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

GCD(3, 468) = 1404 / 468

GCD(3, 468) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 444

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

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

GCD(3, 444) = 1332 / 444

GCD(3, 444) = 3

GCD of 711, 282, 468, 444 is 3

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1. What is the GCD of 711, 282, 468, 444?

GCD of 711, 282, 468, 444 is 3

2. Where do I get the detailed procedure to find GCD of 711, 282, 468, 444?

You can find a detailed procedure to find GCD of 711, 282, 468, 444 on our page.

3. How to find GCD of 711, 282, 468, 444 on a calculator?

You can find the GCD of 711, 282, 468, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.