GCD of 83, 477, 207, 249 Calculator

Given Input numbers are 83, 477, 207, 249

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 83, 477, 207, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 477, 207, 249 is 1.

Therefore, GCD of numbers 83, 477, 207, 249 is 1

Given Input Data is 83, 477, 207, 249

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

Prime Factorization of 83 is 83

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 249 is 3 x 83

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, 477) = 39591

GCD(83, 477) = ( 83 x 477 ) / 39591

GCD(83, 477) = 39591 / 39591

GCD(83, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 83, 477, 207, 249 is 1

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1. What is the GCD of 83, 477, 207, 249?

GCD of 83, 477, 207, 249 is 1

2. Where do I get the detailed procedure to find GCD of 83, 477, 207, 249?

You can find a detailed procedure to find GCD of 83, 477, 207, 249 on our page.

3. How to find GCD of 83, 477, 207, 249 on a calculator?

You can find the GCD of 83, 477, 207, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.