GCD of 82, 282, 397, 353 Calculator

Given Input numbers are 82, 282, 397, 353

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 82, 282, 397, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 282, 397, 353 is 1.

Therefore, GCD of numbers 82, 282, 397, 353 is 1

Given Input Data is 82, 282, 397, 353

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 397 is 397

Prime Factorization of 353 is 353

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, 282) = 11562

GCD(82, 282) = ( 82 x 282 ) / 11562

GCD(82, 282) = 23124 / 11562

GCD(82, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 82, 282, 397, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 964, 996, 269
• GCD of 68, 881, 321, 577
• GCD of 62, 138, 210, 770
• GCD of 94, 238, 117, 969
• GCD of 80, 848, 188, 879

1. What is the GCD of 82, 282, 397, 353?

GCD of 82, 282, 397, 353 is 1

2. Where do I get the detailed procedure to find GCD of 82, 282, 397, 353?

You can find a detailed procedure to find GCD of 82, 282, 397, 353 on our page.

3. How to find GCD of 82, 282, 397, 353 on a calculator?

You can find the GCD of 82, 282, 397, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.