Greatest Common Factor of 4125/753, 4317/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4125/753, 4317/729

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 4125/753,4317/729

Given fractions are 4125/753,4317/729

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 4125,4317

Greatest Common Factor of Numerators i.e. GCF of 4125,4317 is 3 .

LCM of Denominators means LCM of 753,729 as per the given fractions.

LCM of 753,729 is 182979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4125,4317

GCF of Fractions 4125/753,4317/729 is 3/182979

3 4125, 4317
1375, 1439

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

Greatest Common Factor of 4125,4317 By Matching Biggest Common Factor Method

Greatest Common Factor of 4125,4317 By Matching Biggest Common Factor Method

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1,3,1439,4317

Greatest Common Factor

We found the factors 4125,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 4125,4317 is 3.

Lets's calculate LCM of 753,729

3 753, 729
251, 243

∴ So the LCM of the given numbers is 3 x 251 x 243 = 182979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/182979

Therefore, the GCF of Fractions 4125/753,4317/729 is 3/182979

Least Common Multiple of 753,729 with GCF Formula

Least Common Multiple of 753,729 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 753,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,729) = 3

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

GCF(753,729) x common factors =3 x 1 = 3

LCM(753,729) = ( 753 × 729 ) / 3

LCM(753,729) = 548937 / 3

LCM(753,729) = 182979


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 4125/753, 4317/729

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 4125/753, 4317/729?

Answer: GCF of Numerators as per given numbers 4125/753, 4317/729 is

GCF of Numerators i.e. for 4125,4317 is 3

LCM of denominators i.e. for 753,729 is 182979.

Thus, GCF of Fractions is 3/182979.Finally, GCF of Fractions for 4125/753, 4317/729 is 3/182979.