GCD of 550, 820, 441 Calculator

Given Input numbers are 550, 820, 441

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 550, 820, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 820, 441 is 1.

Therefore, GCD of numbers 550, 820, 441 is 1

Given Input Data is 550, 820, 441

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(550, 820) = 45100

GCD(550, 820) = ( 550 x 820 ) / 45100

GCD(550, 820) = 451000 / 45100

GCD(550, 820) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 441

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

LCM(10, 441) = 4410

GCD(10, 441) = ( 10 x 441 ) / 4410

GCD(10, 441) = 4410 / 4410

GCD(10, 441) = 1

GCD of 550, 820, 441 is 1

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1. What is the GCD of 550, 820, 441?

GCD of 550, 820, 441 is 1

2. Where do I get the detailed procedure to find GCD of 550, 820, 441?

You can find a detailed procedure to find GCD of 550, 820, 441 on our page.

3. How to find GCD of 550, 820, 441 on a calculator?

You can find the GCD of 550, 820, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.