Greatest Common Factor of 441/717, 6832/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/717, 6832/117

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 441/717,6832/117

Given fractions are 441/717,6832/117

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 441,6832

Greatest Common Factor of Numerators i.e. GCF of 441,6832 is 7 .

LCM of Denominators means LCM of 717,117 as per the given fractions.

LCM of 717,117 is 27963 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,6832

GCF of Fractions 441/717,6832/117 is 7/27963

7 441, 6832
63, 976

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 441,6832 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,6832 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 6832

List of positive integer factors of 6832 that divides 6832 without a remainder.

1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832

Greatest Common Factor

We found the factors 441,6832 . The biggest common factor number is the GCF number.
So the greatest common factor 441,6832 is 7.

Lets's calculate LCM of 717,117

3 717, 117
239, 39

∴ So the LCM of the given numbers is 3 x 239 x 39 = 27963

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/27963

Therefore, the GCF of Fractions 441/717,6832/117 is 7/27963

Least Common Multiple of 717,117 with GCF Formula

Least Common Multiple of 717,117 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 717,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,117) = 3

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

GCF(717,117) x common factors =3 x 1 = 3

LCM(717,117) = ( 717 × 117 ) / 3

LCM(717,117) = 83889 / 3

LCM(717,117) = 27963


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 441/717, 6832/117

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 441/717, 6832/117?

Answer: GCF of Numerators as per given numbers 441/717, 6832/117 is

GCF of Numerators i.e. for 441,6832 is 7

LCM of denominators i.e. for 717,117 is 27963.

Thus, GCF of Fractions is 7/27963.Finally, GCF of Fractions for 441/717, 6832/117 is 7/27963.