Greatest Common Factor of 28/33, 54/44, 478/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/33, 54/44, 478/120

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 28/33,54/44,478/120

Given fractions are 28/33,54/44,478/120

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 28,54,478

Greatest Common Factor of Numerators i.e. GCF of 28,54,478 is 2 .

LCM of Denominators means LCM of 33,44,120 as per the given fractions.

LCM of 33,44,120 is 1320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,54,478

GCF of Fractions 28/33,54/44,478/120 is 2/1320

2 28, 54, 478
14, 27, 239

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 28,54,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,54,478 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 478

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

1,2,239,478

Greatest Common Factor

We found the factors 28,54,478 . The biggest common factor number is the GCF number.
So the greatest common factor 28,54,478 is 2.

Lets's calculate LCM of 33,44,120

2 33, 44, 120
2 33, 22, 60
3 33, 11, 30
11 11, 11, 10
1, 1, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 1 x 10 = 1320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1320

Therefore, the GCF of Fractions 28/33,54/44,478/120 is 2/1320

Least Common Multiple of 33,44,120 with GCF Formula

Least Common Multiple of 33,44,120 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 33,44,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,44,120) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(33,44,120) x common factors =1 x 132 = 132

LCM(33,44,120) = ( 33 × 44 × 120 ) / 132

LCM(33,44,120) = 174240 / 132

LCM(33,44,120) = 1320


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 28/33, 54/44, 478/120

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 28/33, 54/44, 478/120?

Answer: GCF of Numerators as per given numbers 28/33, 54/44, 478/120 is

GCF of Numerators i.e. for 28,54,478 is 2

LCM of denominators i.e. for 33,44,120 is 1320.

Thus, GCF of Fractions is 2/1320.Finally, GCF of Fractions for 28/33, 54/44, 478/120 is 2/1320.