GCD of 298, 279, 331, 793 Calculator

Given Input numbers are 298, 279, 331, 793

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 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 298, 279, 331, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 279, 331, 793 is 1.

Therefore, GCD of numbers 298, 279, 331, 793 is 1

Given Input Data is 298, 279, 331, 793

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 331 is 331

Prime Factorization of 793 is 13 x 61

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, 279) = 83142

GCD(298, 279) = ( 298 x 279 ) / 83142

GCD(298, 279) = 83142 / 83142

GCD(298, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 298, 279, 331, 793 is 1

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1. What is the GCD of 298, 279, 331, 793?

GCD of 298, 279, 331, 793 is 1

2. Where do I get the detailed procedure to find GCD of 298, 279, 331, 793?

You can find a detailed procedure to find GCD of 298, 279, 331, 793 on our page.

3. How to find GCD of 298, 279, 331, 793 on a calculator?

You can find the GCD of 298, 279, 331, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.