Greatest Common Factor of 4158/98, 5866/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4158/98, 5866/710

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 4158/98,5866/710

Given fractions are 4158/98,5866/710

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 4158,5866

Greatest Common Factor of Numerators i.e. GCF of 4158,5866 is 14 .

LCM of Denominators means LCM of 98,710 as per the given fractions.

LCM of 98,710 is 34790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4158,5866

GCF of Fractions 4158/98,5866/710 is 14/34790

2 4158, 5866
7 2079, 2933
297, 419

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4158,5866 By Matching Biggest Common Factor Method

Greatest Common Factor of 4158,5866 By Matching Biggest Common Factor Method

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Factors of 5866

List of positive integer factors of 5866 that divides 5866 without a remainder.

1,2,7,14,419,838,2933,5866

Greatest Common Factor

We found the factors 4158,5866 . The biggest common factor number is the GCF number.
So the greatest common factor 4158,5866 is 14.

Lets's calculate LCM of 98,710

2 98, 710
49, 355

∴ So the LCM of the given numbers is 2 x 49 x 355 = 34790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/34790

Therefore, the GCF of Fractions 4158/98,5866/710 is 14/34790

Least Common Multiple of 98,710 with GCF Formula

Least Common Multiple of 98,710 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 98,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,710) = 2

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

GCF(98,710) x common factors =2 x 1 = 2

LCM(98,710) = ( 98 × 710 ) / 2

LCM(98,710) = 69580 / 2

LCM(98,710) = 34790


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 4158/98, 5866/710

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 4158/98, 5866/710?

Answer: GCF of Numerators as per given numbers 4158/98, 5866/710 is

GCF of Numerators i.e. for 4158,5866 is 14

LCM of denominators i.e. for 98,710 is 34790.

Thus, GCF of Fractions is 14/34790.Finally, GCF of Fractions for 4158/98, 5866/710 is 14/34790.