GCD of 156, 864, 493, 492 Calculator

Given Input numbers are 156, 864, 493, 492

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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

Greatest Common Divisior

We found the divisors of 156, 864, 493, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 864, 493, 492 is 1.

Therefore, GCD of numbers 156, 864, 493, 492 is 1

Given Input Data is 156, 864, 493, 492

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 493 is 17 x 29

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

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(156, 864) = 11232

GCD(156, 864) = ( 156 x 864 ) / 11232

GCD(156, 864) = 134784 / 11232

GCD(156, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 493

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

LCM(12, 493) = 5916

GCD(12, 493) = ( 12 x 493 ) / 5916

GCD(12, 493) = 5916 / 5916

GCD(12, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 156, 864, 493, 492 is 1

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1. What is the GCD of 156, 864, 493, 492?

GCD of 156, 864, 493, 492 is 1

2. Where do I get the detailed procedure to find GCD of 156, 864, 493, 492?

You can find a detailed procedure to find GCD of 156, 864, 493, 492 on our page.

3. How to find GCD of 156, 864, 493, 492 on a calculator?

You can find the GCD of 156, 864, 493, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.