GCD of 104, 330, 738, 863 Calculator

Given Input numbers are 104, 330, 738, 863

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Greatest Common Divisior

We found the divisors of 104, 330, 738, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 330, 738, 863 is 1.

Therefore, GCD of numbers 104, 330, 738, 863 is 1

Given Input Data is 104, 330, 738, 863

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 863 is 863

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(104, 330) = 17160

GCD(104, 330) = ( 104 x 330 ) / 17160

GCD(104, 330) = 34320 / 17160

GCD(104, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 863

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

LCM(2, 863) = 1726

GCD(2, 863) = ( 2 x 863 ) / 1726

GCD(2, 863) = 1726 / 1726

GCD(2, 863) = 1

GCD of 104, 330, 738, 863 is 1

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1. What is the GCD of 104, 330, 738, 863?

GCD of 104, 330, 738, 863 is 1

2. Where do I get the detailed procedure to find GCD of 104, 330, 738, 863?

You can find a detailed procedure to find GCD of 104, 330, 738, 863 on our page.

3. How to find GCD of 104, 330, 738, 863 on a calculator?

You can find the GCD of 104, 330, 738, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.