Greatest Common Factor of 8304/320, 8135/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8304/320, 8135/241

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 8304/320,8135/241

Given fractions are 8304/320,8135/241

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 8304,8135

Greatest Common Factor of Numerators i.e. GCF of 8304,8135 is 1 .

LCM of Denominators means LCM of 320,241 as per the given fractions.

LCM of 320,241 is 77120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8304,8135

GCF of Fractions 8304/320,8135/241 is 1/77120

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

Greatest Common Factor of 8304,8135 By Matching Biggest Common Factor Method

Greatest Common Factor of 8304,8135 By Matching Biggest Common Factor Method

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1,5,1627,8135

Greatest Common Factor

We found the factors 8304,8135 . The biggest common factor number is the GCF number.
So the greatest common factor 8304,8135 is 1.

Lets's calculate LCM of 320,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 77120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77120

Therefore, the GCF of Fractions 8304/320,8135/241 is 1/77120

Least Common Multiple of 320,241 with GCF Formula

Least Common Multiple of 320,241 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 320,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,241) = 1

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

GCF(320,241) x common factors =1 x 1 = 1

LCM(320,241) = ( 320 × 241 ) / 1

LCM(320,241) = 77120 / 1

LCM(320,241) = 77120


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 8304/320, 8135/241

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 8304/320, 8135/241?

Answer: GCF of Numerators as per given numbers 8304/320, 8135/241 is

GCF of Numerators i.e. for 8304,8135 is 1

LCM of denominators i.e. for 320,241 is 77120.

Thus, GCF of Fractions is 1/77120.Finally, GCF of Fractions for 8304/320, 8135/241 is 1/77120.