Greatest Common Factor of 494/494, 3393/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 494/494, 3393/630

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 494/494,3393/630

Given fractions are 494/494,3393/630

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 494,3393

Greatest Common Factor of Numerators i.e. GCF of 494,3393 is 13 .

LCM of Denominators means LCM of 494,630 as per the given fractions.

LCM of 494,630 is 155610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 494,3393

GCF of Fractions 494/494,3393/630 is 13/155610

13 494, 3393
38, 261

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 494,3393 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,3393 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 3393

List of positive integer factors of 3393 that divides 3393 without a remainder.

1,3,9,13,29,39,87,117,261,377,1131,3393

Greatest Common Factor

We found the factors 494,3393 . The biggest common factor number is the GCF number.
So the greatest common factor 494,3393 is 13.

Lets's calculate LCM of 494,630

2 494, 630
247, 315

∴ So the LCM of the given numbers is 2 x 247 x 315 = 155610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/155610

Therefore, the GCF of Fractions 494/494,3393/630 is 13/155610

Least Common Multiple of 494,630 with GCF Formula

Least Common Multiple of 494,630 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 494,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,630) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(494,630) x common factors =2 x 1 = 2

LCM(494,630) = ( 494 × 630 ) / 2

LCM(494,630) = 311220 / 2

LCM(494,630) = 155610


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 494/494, 3393/630

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 494/494, 3393/630?

Answer: GCF of Numerators as per given numbers 494/494, 3393/630 is

GCF of Numerators i.e. for 494,3393 is 13

LCM of denominators i.e. for 494,630 is 155610.

Thus, GCF of Fractions is 13/155610.Finally, GCF of Fractions for 494/494, 3393/630 is 13/155610.