GCD of 492, 864, 16, 687 Calculator

Given Input numbers are 492, 864, 16, 687

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 492, 864, 16, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 864, 16, 687 is 1.

Therefore, GCD of numbers 492, 864, 16, 687 is 1

Given Input Data is 492, 864, 16, 687

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 687 is 3 x 229

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, 864) = 35424

GCD(492, 864) = ( 492 x 864 ) / 35424

GCD(492, 864) = 425088 / 35424

GCD(492, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

GCD of 492, 864, 16, 687 is 1

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1. What is the GCD of 492, 864, 16, 687?

GCD of 492, 864, 16, 687 is 1

2. Where do I get the detailed procedure to find GCD of 492, 864, 16, 687?

You can find a detailed procedure to find GCD of 492, 864, 16, 687 on our page.

3. How to find GCD of 492, 864, 16, 687 on a calculator?

You can find the GCD of 492, 864, 16, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.