GCD of 82, 417, 297, 509 Calculator

Given Input numbers are 82, 417, 297, 509

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

Divisors of 82

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

1, 2, 41, 82

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 82, 417, 297, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 417, 297, 509 is 1.

Therefore, GCD of numbers 82, 417, 297, 509 is 1

Given Input Data is 82, 417, 297, 509

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 417 is 3 x 139

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 509 is 509

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(82, 417) = 34194

GCD(82, 417) = ( 82 x 417 ) / 34194

GCD(82, 417) = 34194 / 34194

GCD(82, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 82, 417, 297, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 428, 631, 861
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• GCD of 97, 856, 528, 697
• GCD of 92, 459, 141, 185
• GCD of 81, 319, 265, 876

1. What is the GCD of 82, 417, 297, 509?

GCD of 82, 417, 297, 509 is 1

2. Where do I get the detailed procedure to find GCD of 82, 417, 297, 509?

You can find a detailed procedure to find GCD of 82, 417, 297, 509 on our page.

3. How to find GCD of 82, 417, 297, 509 on a calculator?

You can find the GCD of 82, 417, 297, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.