GCD of 82, 413, 449, 343 Calculator

Given Input numbers are 82, 413, 449, 343

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 82, 413, 449, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 413, 449, 343 is 1.

Therefore, GCD of numbers 82, 413, 449, 343 is 1

Given Input Data is 82, 413, 449, 343

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 413 is 7 x 59

Prime Factorization of 449 is 449

Prime Factorization of 343 is 7 x 7 x 7

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, 413) = 33866

GCD(82, 413) = ( 82 x 413 ) / 33866

GCD(82, 413) = 33866 / 33866

GCD(82, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 82, 413, 449, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 902, 353, 219
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• GCD of 28, 397, 494, 931
• GCD of 40, 143, 617, 855
• GCD of 13, 833, 703, 678

1. What is the GCD of 82, 413, 449, 343?

GCD of 82, 413, 449, 343 is 1

2. Where do I get the detailed procedure to find GCD of 82, 413, 449, 343?

You can find a detailed procedure to find GCD of 82, 413, 449, 343 on our page.

3. How to find GCD of 82, 413, 449, 343 on a calculator?

You can find the GCD of 82, 413, 449, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.