GCD of 493, 105, 813, 104 Calculator

Given Input numbers are 493, 105, 813, 104

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

Divisors of 493

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

1, 17, 29, 493

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 104

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

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

Greatest Common Divisior

We found the divisors of 493, 105, 813, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 105, 813, 104 is 1.

Therefore, GCD of numbers 493, 105, 813, 104 is 1

Given Input Data is 493, 105, 813, 104

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 813 is 3 x 271

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

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(493, 105) = 51765

GCD(493, 105) = ( 493 x 105 ) / 51765

GCD(493, 105) = 51765 / 51765

GCD(493, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 493, 105, 813, 104 is 1

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1. What is the GCD of 493, 105, 813, 104?

GCD of 493, 105, 813, 104 is 1

2. Where do I get the detailed procedure to find GCD of 493, 105, 813, 104?

You can find a detailed procedure to find GCD of 493, 105, 813, 104 on our page.

3. How to find GCD of 493, 105, 813, 104 on a calculator?

You can find the GCD of 493, 105, 813, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.