GCD of 104, 498, 195, 494 Calculator

Given Input numbers are 104, 498, 195, 494

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 104, 498, 195, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 498, 195, 494 is 1.

Therefore, GCD of numbers 104, 498, 195, 494 is 1

Given Input Data is 104, 498, 195, 494

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 498 is 2 x 3 x 83

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 494 is 2 x 13 x 19

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, 498) = 25896

GCD(104, 498) = ( 104 x 498 ) / 25896

GCD(104, 498) = 51792 / 25896

GCD(104, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 104, 498, 195, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 237, 354, 960
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• GCD of 608, 782, 763, 891
• GCD of 664, 448, 156, 849
• GCD of 652, 989, 154, 384

1. What is the GCD of 104, 498, 195, 494?

GCD of 104, 498, 195, 494 is 1

2. Where do I get the detailed procedure to find GCD of 104, 498, 195, 494?

You can find a detailed procedure to find GCD of 104, 498, 195, 494 on our page.

3. How to find GCD of 104, 498, 195, 494 on a calculator?

You can find the GCD of 104, 498, 195, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.