GCD of 105, 298, 460 Calculator

Given Input numbers are 105, 298, 460

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 298

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

1, 2, 149, 298

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 105, 298, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 298, 460 is 1.

Therefore, GCD of numbers 105, 298, 460 is 1

Given Input Data is 105, 298, 460

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 298 is 2 x 149

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(105, 298) = 31290

GCD(105, 298) = ( 105 x 298 ) / 31290

GCD(105, 298) = 31290 / 31290

GCD(105, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 105, 298, 460 is 1

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1. What is the GCD of 105, 298, 460?

GCD of 105, 298, 460 is 1

2. Where do I get the detailed procedure to find GCD of 105, 298, 460?

You can find a detailed procedure to find GCD of 105, 298, 460 on our page.

3. How to find GCD of 105, 298, 460 on a calculator?

You can find the GCD of 105, 298, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.