Greatest Common Factor of 8143/884, 1241/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8143/884, 1241/240

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 8143/884,1241/240

Given fractions are 8143/884,1241/240

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 8143,1241

Greatest Common Factor of Numerators i.e. GCF of 8143,1241 is 17 .

LCM of Denominators means LCM of 884,240 as per the given fractions.

LCM of 884,240 is 53040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8143,1241

GCF of Fractions 8143/884,1241/240 is 17/53040

17 8143, 1241
479, 73

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 8143,1241 By Matching Biggest Common Factor Method

Greatest Common Factor of 8143,1241 By Matching Biggest Common Factor Method

Factors of 8143

List of positive integer factors of 8143 that divides 8143 without a remainder.

1,17,479,8143

Factors of 1241

List of positive integer factors of 1241 that divides 1241 without a remainder.

1,17,73,1241

Greatest Common Factor

We found the factors 8143,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 8143,1241 is 17.

Lets's calculate LCM of 884,240

2 884, 240
2 442, 120
221, 60

∴ So the LCM of the given numbers is 2 x 2 x 221 x 60 = 53040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/53040

Therefore, the GCF of Fractions 8143/884,1241/240 is 17/53040

Least Common Multiple of 884,240 with GCF Formula

Least Common Multiple of 884,240 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 884,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,240) = 4

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

GCF(884,240) x common factors =4 x 1 = 4

LCM(884,240) = ( 884 × 240 ) / 4

LCM(884,240) = 212160 / 4

LCM(884,240) = 53040


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 8143/884, 1241/240

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 8143/884, 1241/240?

Answer: GCF of Numerators as per given numbers 8143/884, 1241/240 is

GCF of Numerators i.e. for 8143,1241 is 17

LCM of denominators i.e. for 884,240 is 53040.

Thus, GCF of Fractions is 17/53040.Finally, GCF of Fractions for 8143/884, 1241/240 is 17/53040.