Greatest Common Factor of 4917/276, 6441/8199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4917/276, 6441/8199

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 4917/276,6441/8199

Given fractions are 4917/276,6441/8199

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 4917,6441

Greatest Common Factor of Numerators i.e. GCF of 4917,6441 is 3 .

LCM of Denominators means LCM of 276,8199 as per the given fractions.

LCM of 276,8199 is 754308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4917,6441

GCF of Fractions 4917/276,6441/8199 is 3/754308

3 4917, 6441
1639, 2147

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

Greatest Common Factor of 4917,6441 By Matching Biggest Common Factor Method

Greatest Common Factor of 4917,6441 By Matching Biggest Common Factor Method

Factors of 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1,3,11,33,149,447,1639,4917

Factors of 6441

List of positive integer factors of 6441 that divides 6441 without a remainder.

1,3,19,57,113,339,2147,6441

Greatest Common Factor

We found the factors 4917,6441 . The biggest common factor number is the GCF number.
So the greatest common factor 4917,6441 is 3.

Lets's calculate LCM of 276,8199

3 276, 8199
92, 2733

∴ So the LCM of the given numbers is 3 x 92 x 2733 = 754308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/754308

Therefore, the GCF of Fractions 4917/276,6441/8199 is 3/754308

Least Common Multiple of 276,8199 with GCF Formula

Least Common Multiple of 276,8199 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 276,8199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,8199) = 3

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

GCF(276,8199) x common factors =3 x 1 = 3

LCM(276,8199) = ( 276 × 8199 ) / 3

LCM(276,8199) = 2262924 / 3

LCM(276,8199) = 754308


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 4917/276, 6441/8199

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 4917/276, 6441/8199?

Answer: GCF of Numerators as per given numbers 4917/276, 6441/8199 is

GCF of Numerators i.e. for 4917,6441 is 3

LCM of denominators i.e. for 276,8199 is 754308.

Thus, GCF of Fractions is 3/754308.Finally, GCF of Fractions for 4917/276, 6441/8199 is 3/754308.