GCD of 208, 775, 727 Calculator

Given Input numbers are 208, 775, 727

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 208, 775, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 775, 727 is 1.

Therefore, GCD of numbers 208, 775, 727 is 1

Given Input Data is 208, 775, 727

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 727 is 727

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(208, 775) = 161200

GCD(208, 775) = ( 208 x 775 ) / 161200

GCD(208, 775) = 161200 / 161200

GCD(208, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 208, 775, 727 is 1

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1. What is the GCD of 208, 775, 727?

GCD of 208, 775, 727 is 1

2. Where do I get the detailed procedure to find GCD of 208, 775, 727?

You can find a detailed procedure to find GCD of 208, 775, 727 on our page.

3. How to find GCD of 208, 775, 727 on a calculator?

You can find the GCD of 208, 775, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.