GCD of 15, 660, 810, 298 Calculator

Given Input numbers are 15, 660, 810, 298

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 15, 660, 810, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 660, 810, 298 is 1.

Therefore, GCD of numbers 15, 660, 810, 298 is 1

Given Input Data is 15, 660, 810, 298

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Prime Factorization of 298 is 2 x 149

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(15, 660) = 660

GCD(15, 660) = ( 15 x 660 ) / 660

GCD(15, 660) = 9900 / 660

GCD(15, 660) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 810

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

LCM(15, 810) = 810

GCD(15, 810) = ( 15 x 810 ) / 810

GCD(15, 810) = 12150 / 810

GCD(15, 810) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 298

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

LCM(15, 298) = 4470

GCD(15, 298) = ( 15 x 298 ) / 4470

GCD(15, 298) = 4470 / 4470

GCD(15, 298) = 1

GCD of 15, 660, 810, 298 is 1

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• GCD of 44, 976, 412, 341
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1. What is the GCD of 15, 660, 810, 298?

GCD of 15, 660, 810, 298 is 1

2. Where do I get the detailed procedure to find GCD of 15, 660, 810, 298?

You can find a detailed procedure to find GCD of 15, 660, 810, 298 on our page.

3. How to find GCD of 15, 660, 810, 298 on a calculator?

You can find the GCD of 15, 660, 810, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.