GCD of 10, 449, 521, 580 Calculator

Given Input numbers are 10, 449, 521, 580

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 10, 449, 521, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 449, 521, 580 is 1.

Therefore, GCD of numbers 10, 449, 521, 580 is 1

Given Input Data is 10, 449, 521, 580

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 449 is 449

Prime Factorization of 521 is 521

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(10, 449) = 4490

GCD(10, 449) = ( 10 x 449 ) / 4490

GCD(10, 449) = 4490 / 4490

GCD(10, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 10, 449, 521, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 809, 275, 341
• GCD of 79, 163, 177, 679
• GCD of 26, 212, 490, 867
• GCD of 85, 654, 645, 583
• GCD of 31, 420, 174, 154

1. What is the GCD of 10, 449, 521, 580?

GCD of 10, 449, 521, 580 is 1

2. Where do I get the detailed procedure to find GCD of 10, 449, 521, 580?

You can find a detailed procedure to find GCD of 10, 449, 521, 580 on our page.

3. How to find GCD of 10, 449, 521, 580 on a calculator?

You can find the GCD of 10, 449, 521, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.