Greatest Common Factor of 8239/294, 7232/3748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8239/294, 7232/3748

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 8239/294,7232/3748

Given fractions are 8239/294,7232/3748

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 8239,7232

Greatest Common Factor of Numerators i.e. GCF of 8239,7232 is 1 .

LCM of Denominators means LCM of 294,3748 as per the given fractions.

LCM of 294,3748 is 550956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8239,7232

GCF of Fractions 8239/294,7232/3748 is 1/550956

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

Greatest Common Factor of 8239,7232 By Matching Biggest Common Factor Method

Greatest Common Factor of 8239,7232 By Matching Biggest Common Factor Method

Factors of 8239

List of positive integer factors of 8239 that divides 8239 without a remainder.

1,7,11,77,107,749,1177,8239

Factors of 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232

Greatest Common Factor

We found the factors 8239,7232 . The biggest common factor number is the GCF number.
So the greatest common factor 8239,7232 is 1.

Lets's calculate LCM of 294,3748

2 294, 3748
147, 1874

∴ So the LCM of the given numbers is 2 x 147 x 1874 = 550956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550956

Therefore, the GCF of Fractions 8239/294,7232/3748 is 1/550956

Least Common Multiple of 294,3748 with GCF Formula

Least Common Multiple of 294,3748 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 294,3748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,3748) = 2

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

GCF(294,3748) x common factors =2 x 1 = 2

LCM(294,3748) = ( 294 × 3748 ) / 2

LCM(294,3748) = 1101912 / 2

LCM(294,3748) = 550956


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 8239/294, 7232/3748

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 8239/294, 7232/3748?

Answer: GCF of Numerators as per given numbers 8239/294, 7232/3748 is

GCF of Numerators i.e. for 8239,7232 is 1

LCM of denominators i.e. for 294,3748 is 550956.

Thus, GCF of Fractions is 1/550956.Finally, GCF of Fractions for 8239/294, 7232/3748 is 1/550956.