GCD of 505, 621, 155, 300 Calculator

Given Input numbers are 505, 621, 155, 300

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 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 505, 621, 155, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 621, 155, 300 is 1.

Therefore, GCD of numbers 505, 621, 155, 300 is 1

Given Input Data is 505, 621, 155, 300

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 155 is 5 x 31

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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, 621) = 313605

GCD(505, 621) = ( 505 x 621 ) / 313605

GCD(505, 621) = 313605 / 313605

GCD(505, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 505, 621, 155, 300 is 1

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1. What is the GCD of 505, 621, 155, 300?

GCD of 505, 621, 155, 300 is 1

2. Where do I get the detailed procedure to find GCD of 505, 621, 155, 300?

You can find a detailed procedure to find GCD of 505, 621, 155, 300 on our page.

3. How to find GCD of 505, 621, 155, 300 on a calculator?

You can find the GCD of 505, 621, 155, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.