Greatest Common Factor of 247/27, 364/5298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/27, 364/5298

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 247/27,364/5298

Given fractions are 247/27,364/5298

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 247,364

Greatest Common Factor of Numerators i.e. GCF of 247,364 is 13 .

LCM of Denominators means LCM of 27,5298 as per the given fractions.

LCM of 27,5298 is 47682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,364

GCF of Fractions 247/27,364/5298 is 13/47682

13 247, 364
19, 28

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

Greatest Common Factor of 247,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,364 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 247,364 . The biggest common factor number is the GCF number.
So the greatest common factor 247,364 is 13.

Lets's calculate LCM of 27,5298

3 27, 5298
9, 1766

∴ So the LCM of the given numbers is 3 x 9 x 1766 = 47682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/47682

Therefore, the GCF of Fractions 247/27,364/5298 is 13/47682

Least Common Multiple of 27,5298 with GCF Formula

Least Common Multiple of 27,5298 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 27,5298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,5298) = 3

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

GCF(27,5298) x common factors =3 x 1 = 3

LCM(27,5298) = ( 27 × 5298 ) / 3

LCM(27,5298) = 143046 / 3

LCM(27,5298) = 47682


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 247/27, 364/5298

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 247/27, 364/5298?

Answer: GCF of Numerators as per given numbers 247/27, 364/5298 is

GCF of Numerators i.e. for 247,364 is 13

LCM of denominators i.e. for 27,5298 is 47682.

Thus, GCF of Fractions is 13/47682.Finally, GCF of Fractions for 247/27, 364/5298 is 13/47682.