Greatest Common Factor of 7281/753, 3347/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7281/753, 3347/304

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 7281/753,3347/304

Given fractions are 7281/753,3347/304

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 7281,3347

Greatest Common Factor of Numerators i.e. GCF of 7281,3347 is 1 .

LCM of Denominators means LCM of 753,304 as per the given fractions.

LCM of 753,304 is 228912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7281,3347

GCF of Fractions 7281/753,3347/304 is 1/228912

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

Greatest Common Factor of 7281,3347 By Matching Biggest Common Factor Method

Greatest Common Factor of 7281,3347 By Matching Biggest Common Factor Method

Factors of 7281

List of positive integer factors of 7281 that divides 7281 without a remainder.

1,3,9,809,2427,7281

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1,3347

Greatest Common Factor

We found the factors 7281,3347 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,3347 is 1.

Lets's calculate LCM of 753,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 228912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228912

Therefore, the GCF of Fractions 7281/753,3347/304 is 1/228912

Least Common Multiple of 753,304 with GCF Formula

Least Common Multiple of 753,304 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 753,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,304) = 1

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

GCF(753,304) x common factors =1 x 1 = 1

LCM(753,304) = ( 753 × 304 ) / 1

LCM(753,304) = 228912 / 1

LCM(753,304) = 228912


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 7281/753, 3347/304

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 7281/753, 3347/304?

Answer: GCF of Numerators as per given numbers 7281/753, 3347/304 is

GCF of Numerators i.e. for 7281,3347 is 1

LCM of denominators i.e. for 753,304 is 228912.

Thus, GCF of Fractions is 1/228912.Finally, GCF of Fractions for 7281/753, 3347/304 is 1/228912.