Greatest Common Factor of 2706/51, 4147/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2706/51, 4147/294

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 2706/51,4147/294

Given fractions are 2706/51,4147/294

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 2706,4147

Greatest Common Factor of Numerators i.e. GCF of 2706,4147 is 11 .

LCM of Denominators means LCM of 51,294 as per the given fractions.

LCM of 51,294 is 4998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2706,4147

GCF of Fractions 2706/51,4147/294 is 11/4998

11 2706, 4147
246, 377

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2706,4147 By Matching Biggest Common Factor Method

Greatest Common Factor of 2706,4147 By Matching Biggest Common Factor Method

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706

Factors of 4147

List of positive integer factors of 4147 that divides 4147 without a remainder.

1,11,13,29,143,319,377,4147

Greatest Common Factor

We found the factors 2706,4147 . The biggest common factor number is the GCF number.
So the greatest common factor 2706,4147 is 11.

Lets's calculate LCM of 51,294

3 51, 294
17, 98

∴ So the LCM of the given numbers is 3 x 17 x 98 = 4998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4998

Therefore, the GCF of Fractions 2706/51,4147/294 is 11/4998

Least Common Multiple of 51,294 with GCF Formula

Least Common Multiple of 51,294 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 51,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,294) = 3

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

GCF(51,294) x common factors =3 x 1 = 3

LCM(51,294) = ( 51 × 294 ) / 3

LCM(51,294) = 14994 / 3

LCM(51,294) = 4998


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 2706/51, 4147/294

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 2706/51, 4147/294?

Answer: GCF of Numerators as per given numbers 2706/51, 4147/294 is

GCF of Numerators i.e. for 2706,4147 is 11

LCM of denominators i.e. for 51,294 is 4998.

Thus, GCF of Fractions is 11/4998.Finally, GCF of Fractions for 2706/51, 4147/294 is 11/4998.