GCD of 410, 224, 13, 490 Calculator

Given Input numbers are 410, 224, 13, 490

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 410, 224, 13, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 224, 13, 490 is 1.

Therefore, GCD of numbers 410, 224, 13, 490 is 1

Given Input Data is 410, 224, 13, 490

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 13 is 13

Prime Factorization of 490 is 2 x 5 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(410, 224) = 45920

GCD(410, 224) = ( 410 x 224 ) / 45920

GCD(410, 224) = 91840 / 45920

GCD(410, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 410, 224, 13, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 854, 87, 755
• GCD of 199, 542, 53, 694
• GCD of 206, 880, 45, 988
• GCD of 368, 210, 74, 395
• GCD of 576, 940, 30, 263

1. What is the GCD of 410, 224, 13, 490?

GCD of 410, 224, 13, 490 is 1

2. Where do I get the detailed procedure to find GCD of 410, 224, 13, 490?

You can find a detailed procedure to find GCD of 410, 224, 13, 490 on our page.

3. How to find GCD of 410, 224, 13, 490 on a calculator?

You can find the GCD of 410, 224, 13, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.