Greatest Common Factor of 5234/18, 7396/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5234/18, 7396/301

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 5234/18,7396/301

Given fractions are 5234/18,7396/301

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 5234,7396

Greatest Common Factor of Numerators i.e. GCF of 5234,7396 is 2 .

LCM of Denominators means LCM of 18,301 as per the given fractions.

LCM of 18,301 is 5418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5234,7396

GCF of Fractions 5234/18,7396/301 is 2/5418

2 5234, 7396
2617, 3698

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

Greatest Common Factor of 5234,7396 By Matching Biggest Common Factor Method

Greatest Common Factor of 5234,7396 By Matching Biggest Common Factor Method

Factors of 5234

List of positive integer factors of 5234 that divides 5234 without a remainder.

1,2,2617,5234

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1,2,4,43,86,172,1849,3698,7396

Greatest Common Factor

We found the factors 5234,7396 . The biggest common factor number is the GCF number.
So the greatest common factor 5234,7396 is 2.

Lets's calculate LCM of 18,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 5418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5418

Therefore, the GCF of Fractions 5234/18,7396/301 is 2/5418

Least Common Multiple of 18,301 with GCF Formula

Least Common Multiple of 18,301 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 18,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,301) = 1

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

GCF(18,301) x common factors =1 x 1 = 1

LCM(18,301) = ( 18 × 301 ) / 1

LCM(18,301) = 5418 / 1

LCM(18,301) = 5418


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 5234/18, 7396/301

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 5234/18, 7396/301?

Answer: GCF of Numerators as per given numbers 5234/18, 7396/301 is

GCF of Numerators i.e. for 5234,7396 is 2

LCM of denominators i.e. for 18,301 is 5418.

Thus, GCF of Fractions is 2/5418.Finally, GCF of Fractions for 5234/18, 7396/301 is 2/5418.