GCD of 316, 289, 713, 445 Calculator

Given Input numbers are 316, 289, 713, 445

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 316, 289, 713, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 289, 713, 445 is 1.

Therefore, GCD of numbers 316, 289, 713, 445 is 1

Given Input Data is 316, 289, 713, 445

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 289 is 17 x 17

Prime Factorization of 713 is 23 x 31

Prime Factorization of 445 is 5 x 89

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, 289) = 91324

GCD(316, 289) = ( 316 x 289 ) / 91324

GCD(316, 289) = 91324 / 91324

GCD(316, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 316, 289, 713, 445 is 1

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1. What is the GCD of 316, 289, 713, 445?

GCD of 316, 289, 713, 445 is 1

2. Where do I get the detailed procedure to find GCD of 316, 289, 713, 445?

You can find a detailed procedure to find GCD of 316, 289, 713, 445 on our page.

3. How to find GCD of 316, 289, 713, 445 on a calculator?

You can find the GCD of 316, 289, 713, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.