GCD of 83, 217, 288, 273 Calculator

Given Input numbers are 83, 217, 288, 273

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 83, 217, 288, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 217, 288, 273 is 1.

Therefore, GCD of numbers 83, 217, 288, 273 is 1

Given Input Data is 83, 217, 288, 273

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

Prime Factorization of 83 is 83

Prime Factorization of 217 is 7 x 31

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 273 is 3 x 7 x 13

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, 217) = 18011

GCD(83, 217) = ( 83 x 217 ) / 18011

GCD(83, 217) = 18011 / 18011

GCD(83, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 83, 217, 288, 273 is 1

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• GCD of 69, 581, 321, 158
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1. What is the GCD of 83, 217, 288, 273?

GCD of 83, 217, 288, 273 is 1

2. Where do I get the detailed procedure to find GCD of 83, 217, 288, 273?

You can find a detailed procedure to find GCD of 83, 217, 288, 273 on our page.

3. How to find GCD of 83, 217, 288, 273 on a calculator?

You can find the GCD of 83, 217, 288, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.