GCD of 305, 498, 116 Calculator

Given Input numbers are 305, 498, 116

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 305, 498, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 498, 116 is 1.

Therefore, GCD of numbers 305, 498, 116 is 1

Given Input Data is 305, 498, 116

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 116 is 2 x 2 x 29

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(305, 498) = 151890

GCD(305, 498) = ( 305 x 498 ) / 151890

GCD(305, 498) = 151890 / 151890

GCD(305, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 305, 498, 116 is 1

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1. What is the GCD of 305, 498, 116?

GCD of 305, 498, 116 is 1

2. Where do I get the detailed procedure to find GCD of 305, 498, 116?

You can find a detailed procedure to find GCD of 305, 498, 116 on our page.

3. How to find GCD of 305, 498, 116 on a calculator?

You can find the GCD of 305, 498, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.