GCD of 864, 731, 12, 106 Calculator

Given Input numbers are 864, 731, 12, 106

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

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 864, 731, 12, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 731, 12, 106 is 1.

Therefore, GCD of numbers 864, 731, 12, 106 is 1

Given Input Data is 864, 731, 12, 106

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

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 106 is 2 x 53

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(864, 731) = 631584

GCD(864, 731) = ( 864 x 731 ) / 631584

GCD(864, 731) = 631584 / 631584

GCD(864, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 864, 731, 12, 106 is 1

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• GCD of 541, 801, 19, 850
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1. What is the GCD of 864, 731, 12, 106?

GCD of 864, 731, 12, 106 is 1

2. Where do I get the detailed procedure to find GCD of 864, 731, 12, 106?

You can find a detailed procedure to find GCD of 864, 731, 12, 106 on our page.

3. How to find GCD of 864, 731, 12, 106 on a calculator?

You can find the GCD of 864, 731, 12, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.