GCD of 316, 113, 605, 502 Calculator

Given Input numbers are 316, 113, 605, 502

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 316, 113, 605, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 113, 605, 502 is 1.

Therefore, GCD of numbers 316, 113, 605, 502 is 1

Given Input Data is 316, 113, 605, 502

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 113 is 113

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 502 is 2 x 251

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(316, 113) = 35708

GCD(316, 113) = ( 316 x 113 ) / 35708

GCD(316, 113) = 35708 / 35708

GCD(316, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 316, 113, 605, 502 is 1

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1. What is the GCD of 316, 113, 605, 502?

GCD of 316, 113, 605, 502 is 1

2. Where do I get the detailed procedure to find GCD of 316, 113, 605, 502?

You can find a detailed procedure to find GCD of 316, 113, 605, 502 on our page.

3. How to find GCD of 316, 113, 605, 502 on a calculator?

You can find the GCD of 316, 113, 605, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.