GCD of 549, 365, 505 Calculator

Given Input numbers are 549, 365, 505

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

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 505

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

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 549, 365, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 365, 505 is 1.

Therefore, GCD of numbers 549, 365, 505 is 1

Given Input Data is 549, 365, 505

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 365 is 5 x 73

Prime Factorization of 505 is 5 x 101

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(549, 365) = 200385

GCD(549, 365) = ( 549 x 365 ) / 200385

GCD(549, 365) = 200385 / 200385

GCD(549, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 549, 365, 505 is 1

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1. What is the GCD of 549, 365, 505?

GCD of 549, 365, 505 is 1

2. Where do I get the detailed procedure to find GCD of 549, 365, 505?

You can find a detailed procedure to find GCD of 549, 365, 505 on our page.

3. How to find GCD of 549, 365, 505 on a calculator?

You can find the GCD of 549, 365, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.