GCD of 289, 338, 82, 647 Calculator

Given Input numbers are 289, 338, 82, 647

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 289, 338, 82, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 338, 82, 647 is 1.

Therefore, GCD of numbers 289, 338, 82, 647 is 1

Given Input Data is 289, 338, 82, 647

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 82 is 2 x 41

Prime Factorization of 647 is 647

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, 338) = 97682

GCD(289, 338) = ( 289 x 338 ) / 97682

GCD(289, 338) = 97682 / 97682

GCD(289, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 289, 338, 82, 647 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 658, 56, 261
• GCD of 333, 391, 16, 756
• GCD of 419, 603, 59, 423
• GCD of 994, 298, 28, 706
• GCD of 832, 679, 56, 740

1. What is the GCD of 289, 338, 82, 647?

GCD of 289, 338, 82, 647 is 1

2. Where do I get the detailed procedure to find GCD of 289, 338, 82, 647?

You can find a detailed procedure to find GCD of 289, 338, 82, 647 on our page.

3. How to find GCD of 289, 338, 82, 647 on a calculator?

You can find the GCD of 289, 338, 82, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.