GCD of 289, 387, 683, 713 Calculator

Given Input numbers are 289, 387, 683, 713

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

Divisors of 289

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

1, 17, 289

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 713

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

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 289, 387, 683, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 387, 683, 713 is 1.

Therefore, GCD of numbers 289, 387, 683, 713 is 1

Given Input Data is 289, 387, 683, 713

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 683 is 683

Prime Factorization of 713 is 23 x 31

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(289, 387) = 111843

GCD(289, 387) = ( 289 x 387 ) / 111843

GCD(289, 387) = 111843 / 111843

GCD(289, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

Step3:

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

GCD of 289, 387, 683, 713 is 1

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1. What is the GCD of 289, 387, 683, 713?

GCD of 289, 387, 683, 713 is 1

2. Where do I get the detailed procedure to find GCD of 289, 387, 683, 713?

You can find a detailed procedure to find GCD of 289, 387, 683, 713 on our page.

3. How to find GCD of 289, 387, 683, 713 on a calculator?

You can find the GCD of 289, 387, 683, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.