Greatest Common Factor of 5475/239, 6032/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5475/239, 6032/478

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 5475/239,6032/478

Given fractions are 5475/239,6032/478

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 5475,6032

Greatest Common Factor of Numerators i.e. GCF of 5475,6032 is 1 .

LCM of Denominators means LCM of 239,478 as per the given fractions.

LCM of 239,478 is 478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5475,6032

GCF of Fractions 5475/239,6032/478 is 1/478

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

Greatest Common Factor of 5475,6032 By Matching Biggest Common Factor Method

Greatest Common Factor of 5475,6032 By Matching Biggest Common Factor Method

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032

Greatest Common Factor

We found the factors 5475,6032 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,6032 is 1.

Lets's calculate LCM of 239,478

239 239, 478
1, 2

∴ So the LCM of the given numbers is 239 x 1 x 2 = 478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478

Therefore, the GCF of Fractions 5475/239,6032/478 is 1/478

Least Common Multiple of 239,478 with GCF Formula

Least Common Multiple of 239,478 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 239,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,478) = 239

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

GCF(239,478) x common factors =239 x 1 = 239

LCM(239,478) = ( 239 × 478 ) / 239

LCM(239,478) = 114242 / 239

LCM(239,478) = 478


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 5475/239, 6032/478

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 5475/239, 6032/478?

Answer: GCF of Numerators as per given numbers 5475/239, 6032/478 is

GCF of Numerators i.e. for 5475,6032 is 1

LCM of denominators i.e. for 239,478 is 478.

Thus, GCF of Fractions is 1/478.Finally, GCF of Fractions for 5475/239, 6032/478 is 1/478.