GCD of 245, 190, 455, 810 Calculator

Given Input numbers are 245, 190, 455, 810

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 245, 190, 455, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 190, 455, 810 is 5.

Therefore, GCD of numbers 245, 190, 455, 810 is 5

Given Input Data is 245, 190, 455, 810

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(245, 190) = 9310

GCD(245, 190) = ( 245 x 190 ) / 9310

GCD(245, 190) = 46550 / 9310

GCD(245, 190) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 455

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

LCM(5, 455) = 455

GCD(5, 455) = ( 5 x 455 ) / 455

GCD(5, 455) = 2275 / 455

GCD(5, 455) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 810

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

LCM(5, 810) = 810

GCD(5, 810) = ( 5 x 810 ) / 810

GCD(5, 810) = 4050 / 810

GCD(5, 810) = 5

GCD of 245, 190, 455, 810 is 5

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1. What is the GCD of 245, 190, 455, 810?

GCD of 245, 190, 455, 810 is 5

2. Where do I get the detailed procedure to find GCD of 245, 190, 455, 810?

You can find a detailed procedure to find GCD of 245, 190, 455, 810 on our page.

3. How to find GCD of 245, 190, 455, 810 on a calculator?

You can find the GCD of 245, 190, 455, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.