GCD of 255, 549, 71, 104 Calculator

Given Input numbers are 255, 549, 71, 104

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 255, 549, 71, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 549, 71, 104 is 1.

Therefore, GCD of numbers 255, 549, 71, 104 is 1

Given Input Data is 255, 549, 71, 104

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 71 is 71

Prime Factorization of 104 is 2 x 2 x 2 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(255, 549) = 46665

GCD(255, 549) = ( 255 x 549 ) / 46665

GCD(255, 549) = 139995 / 46665

GCD(255, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 255, 549, 71, 104 is 1

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• GCD of 703, 381, 41, 489
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1. What is the GCD of 255, 549, 71, 104?

GCD of 255, 549, 71, 104 is 1

2. Where do I get the detailed procedure to find GCD of 255, 549, 71, 104?

You can find a detailed procedure to find GCD of 255, 549, 71, 104 on our page.

3. How to find GCD of 255, 549, 71, 104 on a calculator?

You can find the GCD of 255, 549, 71, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.