GCD of 505, 900, 31, 477 Calculator

Given Input numbers are 505, 900, 31, 477

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 505, 900, 31, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 900, 31, 477 is 1.

Therefore, GCD of numbers 505, 900, 31, 477 is 1

Given Input Data is 505, 900, 31, 477

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 477 is 3 x 3 x 53

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, 900) = 90900

GCD(505, 900) = ( 505 x 900 ) / 90900

GCD(505, 900) = 454500 / 90900

GCD(505, 900) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 505, 900, 31, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 631, 43, 690
• GCD of 559, 974, 10, 486
• GCD of 751, 722, 56, 848
• GCD of 608, 991, 89, 413
• GCD of 906, 203, 18, 625

1. What is the GCD of 505, 900, 31, 477?

GCD of 505, 900, 31, 477 is 1

2. Where do I get the detailed procedure to find GCD of 505, 900, 31, 477?

You can find a detailed procedure to find GCD of 505, 900, 31, 477 on our page.

3. How to find GCD of 505, 900, 31, 477 on a calculator?

You can find the GCD of 505, 900, 31, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.