GCD of 393, 310, 84, 316 Calculator

Given Input numbers are 393, 310, 84, 316

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 316

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

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 393, 310, 84, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 310, 84, 316 is 1.

Therefore, GCD of numbers 393, 310, 84, 316 is 1

Given Input Data is 393, 310, 84, 316

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 316 is 2 x 2 x 79

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(393, 310) = 121830

GCD(393, 310) = ( 393 x 310 ) / 121830

GCD(393, 310) = 121830 / 121830

GCD(393, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 393, 310, 84, 316 is 1

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1. What is the GCD of 393, 310, 84, 316?

GCD of 393, 310, 84, 316 is 1

2. Where do I get the detailed procedure to find GCD of 393, 310, 84, 316?

You can find a detailed procedure to find GCD of 393, 310, 84, 316 on our page.

3. How to find GCD of 393, 310, 84, 316 on a calculator?

You can find the GCD of 393, 310, 84, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.