GCD of 116, 496, 313 Calculator

Given Input numbers are 116, 496, 313

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

Divisors of 116

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

1, 2, 4, 29, 58, 116

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 116, 496, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 496, 313 is 1.

Therefore, GCD of numbers 116, 496, 313 is 1

Given Input Data is 116, 496, 313

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 313 is 313

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(116, 496) = 14384

GCD(116, 496) = ( 116 x 496 ) / 14384

GCD(116, 496) = 57536 / 14384

GCD(116, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 313

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

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

GCD(4, 313) = 1252 / 1252

GCD(4, 313) = 1

GCD of 116, 496, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 179, 748
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• GCD of 446, 530, 748
• GCD of 880, 369, 946

1. What is the GCD of 116, 496, 313?

GCD of 116, 496, 313 is 1

2. Where do I get the detailed procedure to find GCD of 116, 496, 313?

You can find a detailed procedure to find GCD of 116, 496, 313 on our page.

3. How to find GCD of 116, 496, 313 on a calculator?

You can find the GCD of 116, 496, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.