GCD of 492, 687, 12, 466 Calculator

Given Input numbers are 492, 687, 12, 466

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 492, 687, 12, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 687, 12, 466 is 1.

Therefore, GCD of numbers 492, 687, 12, 466 is 1

Given Input Data is 492, 687, 12, 466

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 687 is 3 x 229

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 466 is 2 x 233

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(492, 687) = 112668

GCD(492, 687) = ( 492 x 687 ) / 112668

GCD(492, 687) = 338004 / 112668

GCD(492, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

GCD of 492, 687, 12, 466 is 1

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• GCD of 959, 477, 86, 689
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1. What is the GCD of 492, 687, 12, 466?

GCD of 492, 687, 12, 466 is 1

2. Where do I get the detailed procedure to find GCD of 492, 687, 12, 466?

You can find a detailed procedure to find GCD of 492, 687, 12, 466 on our page.

3. How to find GCD of 492, 687, 12, 466 on a calculator?

You can find the GCD of 492, 687, 12, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.