GCD of 298, 780, 305, 484 Calculator

Given Input numbers are 298, 780, 305, 484

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 298, 780, 305, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 780, 305, 484 is 1.

Therefore, GCD of numbers 298, 780, 305, 484 is 1

Given Input Data is 298, 780, 305, 484

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 305 is 5 x 61

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(298, 780) = 116220

GCD(298, 780) = ( 298 x 780 ) / 116220

GCD(298, 780) = 232440 / 116220

GCD(298, 780) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 298, 780, 305, 484 is 1

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1. What is the GCD of 298, 780, 305, 484?

GCD of 298, 780, 305, 484 is 1

2. Where do I get the detailed procedure to find GCD of 298, 780, 305, 484?

You can find a detailed procedure to find GCD of 298, 780, 305, 484 on our page.

3. How to find GCD of 298, 780, 305, 484 on a calculator?

You can find the GCD of 298, 780, 305, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.