Greatest Common Factor of 7233/434, 4805/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7233/434, 4805/336

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 7233/434,4805/336

Given fractions are 7233/434,4805/336

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 7233,4805

Greatest Common Factor of Numerators i.e. GCF of 7233,4805 is 1 .

LCM of Denominators means LCM of 434,336 as per the given fractions.

LCM of 434,336 is 10416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7233,4805

GCF of Fractions 7233/434,4805/336 is 1/10416

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

Greatest Common Factor of 7233,4805 By Matching Biggest Common Factor Method

Greatest Common Factor of 7233,4805 By Matching Biggest Common Factor Method

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Factors of 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1,5,31,155,961,4805

Greatest Common Factor

We found the factors 7233,4805 . The biggest common factor number is the GCF number.
So the greatest common factor 7233,4805 is 1.

Lets's calculate LCM of 434,336

2 434, 336
7 217, 168
31, 24

∴ So the LCM of the given numbers is 2 x 7 x 31 x 24 = 10416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10416

Therefore, the GCF of Fractions 7233/434,4805/336 is 1/10416

Least Common Multiple of 434,336 with GCF Formula

Least Common Multiple of 434,336 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 434,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,336) = 14

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

GCF(434,336) x common factors =14 x 1 = 14

LCM(434,336) = ( 434 × 336 ) / 14

LCM(434,336) = 145824 / 14

LCM(434,336) = 10416


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 7233/434, 4805/336

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 7233/434, 4805/336?

Answer: GCF of Numerators as per given numbers 7233/434, 4805/336 is

GCF of Numerators i.e. for 7233,4805 is 1

LCM of denominators i.e. for 434,336 is 10416.

Thus, GCF of Fractions is 1/10416.Finally, GCF of Fractions for 7233/434, 4805/336 is 1/10416.