GCD of 83, 396, 385, 289 Calculator

Given Input numbers are 83, 396, 385, 289

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 83, 396, 385, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 396, 385, 289 is 1.

Therefore, GCD of numbers 83, 396, 385, 289 is 1

Given Input Data is 83, 396, 385, 289

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

Prime Factorization of 83 is 83

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 289 is 17 x 17

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(83, 396) = 32868

GCD(83, 396) = ( 83 x 396 ) / 32868

GCD(83, 396) = 32868 / 32868

GCD(83, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 83, 396, 385, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 481, 487, 173
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• GCD of 62, 810, 232, 761
• GCD of 29, 768, 200, 834
• GCD of 40, 865, 507, 802

1. What is the GCD of 83, 396, 385, 289?

GCD of 83, 396, 385, 289 is 1

2. Where do I get the detailed procedure to find GCD of 83, 396, 385, 289?

You can find a detailed procedure to find GCD of 83, 396, 385, 289 on our page.

3. How to find GCD of 83, 396, 385, 289 on a calculator?

You can find the GCD of 83, 396, 385, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.