GCD of 798, 295, 720, 298 Calculator

Given Input numbers are 798, 295, 720, 298

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 798, 295, 720, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 295, 720, 298 is 1.

Therefore, GCD of numbers 798, 295, 720, 298 is 1

Given Input Data is 798, 295, 720, 298

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 295 is 5 x 59

Prime Factorization of 720 is 2 x 2 x 2 x 2 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(798, 295) = 235410

GCD(798, 295) = ( 798 x 295 ) / 235410

GCD(798, 295) = 235410 / 235410

GCD(798, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 798, 295, 720, 298 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 798, 295, 720, 298?

GCD of 798, 295, 720, 298 is 1

2. Where do I get the detailed procedure to find GCD of 798, 295, 720, 298?

You can find a detailed procedure to find GCD of 798, 295, 720, 298 on our page.

3. How to find GCD of 798, 295, 720, 298 on a calculator?

You can find the GCD of 798, 295, 720, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.