Greatest Common Factor of 48/75, 72/39, 163/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/75, 72/39, 163/414

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 48/75,72/39,163/414

Given fractions are 48/75,72/39,163/414

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 48,72,163

Greatest Common Factor of Numerators i.e. GCF of 48,72,163 is 1 .

LCM of Denominators means LCM of 75,39,414 as per the given fractions.

LCM of 75,39,414 is 134550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,72,163

GCF of Fractions 48/75,72/39,163/414 is 1/134550

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

Greatest Common Factor of 48,72,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,72,163 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 48,72,163 . The biggest common factor number is the GCF number.
So the greatest common factor 48,72,163 is 1.

Lets's calculate LCM of 75,39,414

3 75, 39, 414
25, 13, 138

∴ So the LCM of the given numbers is 3 x 25 x 13 x 138 = 134550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134550

Therefore, the GCF of Fractions 48/75,72/39,163/414 is 1/134550

Least Common Multiple of 75,39,414 with GCF Formula

Least Common Multiple of 75,39,414 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 75,39,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,39,414) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(75,39,414) x common factors =3 x 3 = 9

LCM(75,39,414) = ( 75 × 39 × 414 ) / 9

LCM(75,39,414) = 1210950 / 9

LCM(75,39,414) = 134550


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 48/75, 72/39, 163/414

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 48/75, 72/39, 163/414?

Answer: GCF of Numerators as per given numbers 48/75, 72/39, 163/414 is

GCF of Numerators i.e. for 48,72,163 is 1

LCM of denominators i.e. for 75,39,414 is 134550.

Thus, GCF of Fractions is 1/134550.Finally, GCF of Fractions for 48/75, 72/39, 163/414 is 1/134550.