Greatest Common Factor of 478/42, 175/4089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/42, 175/4089

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 478/42,175/4089

Given fractions are 478/42,175/4089

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 478,175

Greatest Common Factor of Numerators i.e. GCF of 478,175 is 1 .

LCM of Denominators means LCM of 42,4089 as per the given fractions.

LCM of 42,4089 is 57246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,175

GCF of Fractions 478/42,175/4089 is 1/57246

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

Greatest Common Factor of 478,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,175 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 478,175 . The biggest common factor number is the GCF number.
So the greatest common factor 478,175 is 1.

Lets's calculate LCM of 42,4089

3 42, 4089
14, 1363

∴ So the LCM of the given numbers is 3 x 14 x 1363 = 57246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57246

Therefore, the GCF of Fractions 478/42,175/4089 is 1/57246

Least Common Multiple of 42,4089 with GCF Formula

Least Common Multiple of 42,4089 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 42,4089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,4089) = 3

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

GCF(42,4089) x common factors =3 x 1 = 3

LCM(42,4089) = ( 42 × 4089 ) / 3

LCM(42,4089) = 171738 / 3

LCM(42,4089) = 57246


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 478/42, 175/4089

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 478/42, 175/4089?

Answer: GCF of Numerators as per given numbers 478/42, 175/4089 is

GCF of Numerators i.e. for 478,175 is 1

LCM of denominators i.e. for 42,4089 is 57246.

Thus, GCF of Fractions is 1/57246.Finally, GCF of Fractions for 478/42, 175/4089 is 1/57246.