GCD of 448, 210, 13, 410 Calculator

Given Input numbers are 448, 210, 13, 410

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 13

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

1, 13

Divisors of 410

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

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

Greatest Common Divisior

We found the divisors of 448, 210, 13, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 210, 13, 410 is 1.

Therefore, GCD of numbers 448, 210, 13, 410 is 1

Given Input Data is 448, 210, 13, 410

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 410 is 2 x 5 x 41

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(448, 210) = 6720

GCD(448, 210) = ( 448 x 210 ) / 6720

GCD(448, 210) = 94080 / 6720

GCD(448, 210) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 13

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

LCM(14, 13) = 182

GCD(14, 13) = ( 14 x 13 ) / 182

GCD(14, 13) = 182 / 182

GCD(14, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 448, 210, 13, 410 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 411, 17, 743
• GCD of 641, 421, 99, 967
• GCD of 941, 816, 51, 993
• GCD of 425, 234, 73, 552
• GCD of 571, 738, 68, 905

1. What is the GCD of 448, 210, 13, 410?

GCD of 448, 210, 13, 410 is 1

2. Where do I get the detailed procedure to find GCD of 448, 210, 13, 410?

You can find a detailed procedure to find GCD of 448, 210, 13, 410 on our page.

3. How to find GCD of 448, 210, 13, 410 on a calculator?

You can find the GCD of 448, 210, 13, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.