Greatest Common Factor of 7353/332, 4260/8916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7353/332, 4260/8916

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 7353/332,4260/8916

Given fractions are 7353/332,4260/8916

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 7353,4260

Greatest Common Factor of Numerators i.e. GCF of 7353,4260 is 3 .

LCM of Denominators means LCM of 332,8916 as per the given fractions.

LCM of 332,8916 is 740028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7353,4260

GCF of Fractions 7353/332,4260/8916 is 3/740028

3 7353, 4260
2451, 1420

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7353,4260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7353,4260 By Matching Biggest Common Factor Method

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Greatest Common Factor

We found the factors 7353,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 7353,4260 is 3.

Lets's calculate LCM of 332,8916

2 332, 8916
2 166, 4458
83, 2229

∴ So the LCM of the given numbers is 2 x 2 x 83 x 2229 = 740028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/740028

Therefore, the GCF of Fractions 7353/332,4260/8916 is 3/740028

Least Common Multiple of 332,8916 with GCF Formula

Least Common Multiple of 332,8916 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 332,8916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,8916) = 4

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

GCF(332,8916) x common factors =4 x 1 = 4

LCM(332,8916) = ( 332 × 8916 ) / 4

LCM(332,8916) = 2960112 / 4

LCM(332,8916) = 740028


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 7353/332, 4260/8916

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 7353/332, 4260/8916?

Answer: GCF of Numerators as per given numbers 7353/332, 4260/8916 is

GCF of Numerators i.e. for 7353,4260 is 3

LCM of denominators i.e. for 332,8916 is 740028.

Thus, GCF of Fractions is 3/740028.Finally, GCF of Fractions for 7353/332, 4260/8916 is 3/740028.