Greatest Common Factor of 118/594, 8247/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/594, 8247/298

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 118/594,8247/298

Given fractions are 118/594,8247/298

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 118,8247

Greatest Common Factor of Numerators i.e. GCF of 118,8247 is 1 .

LCM of Denominators means LCM of 594,298 as per the given fractions.

LCM of 594,298 is 88506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,8247

GCF of Fractions 118/594,8247/298 is 1/88506

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 118,8247 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,8247 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 8247

List of positive integer factors of 8247 that divides 8247 without a remainder.

1,3,2749,8247

Greatest Common Factor

We found the factors 118,8247 . The biggest common factor number is the GCF number.
So the greatest common factor 118,8247 is 1.

Lets's calculate LCM of 594,298

2 594, 298
297, 149

∴ So the LCM of the given numbers is 2 x 297 x 149 = 88506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88506

Therefore, the GCF of Fractions 118/594,8247/298 is 1/88506

Least Common Multiple of 594,298 with GCF Formula

Least Common Multiple of 594,298 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 594,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,298) = 2

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

GCF(594,298) x common factors =2 x 1 = 2

LCM(594,298) = ( 594 × 298 ) / 2

LCM(594,298) = 177012 / 2

LCM(594,298) = 88506


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 118/594, 8247/298

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 118/594, 8247/298?

Answer: GCF of Numerators as per given numbers 118/594, 8247/298 is

GCF of Numerators i.e. for 118,8247 is 1

LCM of denominators i.e. for 594,298 is 88506.

Thus, GCF of Fractions is 1/88506.Finally, GCF of Fractions for 118/594, 8247/298 is 1/88506.