Greatest Common Factor of 48/55, 333/16, 209/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/55, 333/16, 209/476

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 48/55,333/16,209/476

Given fractions are 48/55,333/16,209/476

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 48,333,209

Greatest Common Factor of Numerators i.e. GCF of 48,333,209 is 1 .

LCM of Denominators means LCM of 55,16,476 as per the given fractions.

LCM of 55,16,476 is 104720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,333,209

GCF of Fractions 48/55,333/16,209/476 is 1/104720

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

Greatest Common Factor of 48,333,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,333,209 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 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 48,333,209 . The biggest common factor number is the GCF number.
So the greatest common factor 48,333,209 is 1.

Lets's calculate LCM of 55,16,476

2 55, 16, 476
2 55, 8, 238
55, 4, 119

∴ So the LCM of the given numbers is 2 x 2 x 55 x 4 x 119 = 104720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104720

Therefore, the GCF of Fractions 48/55,333/16,209/476 is 1/104720

Least Common Multiple of 55,16,476 with GCF Formula

Least Common Multiple of 55,16,476 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 55,16,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,16,476) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(55,16,476) x common factors =1 x 4 = 4

LCM(55,16,476) = ( 55 × 16 × 476 ) / 4

LCM(55,16,476) = 418880 / 4

LCM(55,16,476) = 104720


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 48/55, 333/16, 209/476

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 48/55, 333/16, 209/476?

Answer: GCF of Numerators as per given numbers 48/55, 333/16, 209/476 is

GCF of Numerators i.e. for 48,333,209 is 1

LCM of denominators i.e. for 55,16,476 is 104720.

Thus, GCF of Fractions is 1/104720.Finally, GCF of Fractions for 48/55, 333/16, 209/476 is 1/104720.