Greatest Common Factor of 14/52, 48/23, 304/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/52, 48/23, 304/502

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 14/52,48/23,304/502

Given fractions are 14/52,48/23,304/502

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 14,48,304

Greatest Common Factor of Numerators i.e. GCF of 14,48,304 is 2 .

LCM of Denominators means LCM of 52,23,502 as per the given fractions.

LCM of 52,23,502 is 300196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,48,304

GCF of Fractions 14/52,48/23,304/502 is 2/300196

2 14, 48, 304
7, 24, 152

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

Greatest Common Factor of 14,48,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,48,304 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 14,48,304 . The biggest common factor number is the GCF number.
So the greatest common factor 14,48,304 is 2.

Lets's calculate LCM of 52,23,502

2 52, 23, 502
26, 23, 251

∴ So the LCM of the given numbers is 2 x 26 x 23 x 251 = 300196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300196

Therefore, the GCF of Fractions 14/52,48/23,304/502 is 2/300196

Least Common Multiple of 52,23,502 with GCF Formula

Least Common Multiple of 52,23,502 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 52,23,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,23,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,23,502) x common factors =1 x 2 = 2

LCM(52,23,502) = ( 52 × 23 × 502 ) / 2

LCM(52,23,502) = 600392 / 2

LCM(52,23,502) = 300196


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 14/52, 48/23, 304/502

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 14/52, 48/23, 304/502?

Answer: GCF of Numerators as per given numbers 14/52, 48/23, 304/502 is

GCF of Numerators i.e. for 14,48,304 is 2

LCM of denominators i.e. for 52,23,502 is 300196.

Thus, GCF of Fractions is 2/300196.Finally, GCF of Fractions for 14/52, 48/23, 304/502 is 2/300196.