GCD of 505, 261, 723 Calculator

Given Input numbers are 505, 261, 723

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 505, 261, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 261, 723 is 1.

Therefore, GCD of numbers 505, 261, 723 is 1

Given Input Data is 505, 261, 723

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 723 is 3 x 241

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(505, 261) = 131805

GCD(505, 261) = ( 505 x 261 ) / 131805

GCD(505, 261) = 131805 / 131805

GCD(505, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 505, 261, 723 is 1

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1. What is the GCD of 505, 261, 723?

GCD of 505, 261, 723 is 1

2. Where do I get the detailed procedure to find GCD of 505, 261, 723?

You can find a detailed procedure to find GCD of 505, 261, 723 on our page.

3. How to find GCD of 505, 261, 723 on a calculator?

You can find the GCD of 505, 261, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.