Greatest Common Factor of 394/549, 2546/7728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/549, 2546/7728

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 394/549,2546/7728

Given fractions are 394/549,2546/7728

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 394,2546

Greatest Common Factor of Numerators i.e. GCF of 394,2546 is 2 .

LCM of Denominators means LCM of 549,7728 as per the given fractions.

LCM of 549,7728 is 1414224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,2546

GCF of Fractions 394/549,2546/7728 is 2/1414224

2 394, 2546
197, 1273

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 394,2546 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,2546 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Greatest Common Factor

We found the factors 394,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 394,2546 is 2.

Lets's calculate LCM of 549,7728

3 549, 7728
183, 2576

∴ So the LCM of the given numbers is 3 x 183 x 2576 = 1414224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1414224

Therefore, the GCF of Fractions 394/549,2546/7728 is 2/1414224

Least Common Multiple of 549,7728 with GCF Formula

Least Common Multiple of 549,7728 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 549,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,7728) = 3

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

GCF(549,7728) x common factors =3 x 1 = 3

LCM(549,7728) = ( 549 × 7728 ) / 3

LCM(549,7728) = 4242672 / 3

LCM(549,7728) = 1414224


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 394/549, 2546/7728

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 394/549, 2546/7728?

Answer: GCF of Numerators as per given numbers 394/549, 2546/7728 is

GCF of Numerators i.e. for 394,2546 is 2

LCM of denominators i.e. for 549,7728 is 1414224.

Thus, GCF of Fractions is 2/1414224.Finally, GCF of Fractions for 394/549, 2546/7728 is 2/1414224.