Greatest Common Factor of 3054/33, 1092/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3054/33, 1092/444

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 3054/33,1092/444

Given fractions are 3054/33,1092/444

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 3054,1092

Greatest Common Factor of Numerators i.e. GCF of 3054,1092 is 6 .

LCM of Denominators means LCM of 33,444 as per the given fractions.

LCM of 33,444 is 4884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3054,1092

GCF of Fractions 3054/33,1092/444 is 6/4884

2 3054, 1092
3 1527, 546
509, 182

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3054,1092 By Matching Biggest Common Factor Method

Greatest Common Factor of 3054,1092 By Matching Biggest Common Factor Method

Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1,2,3,6,509,1018,1527,3054

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Greatest Common Factor

We found the factors 3054,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 3054,1092 is 6.

Lets's calculate LCM of 33,444

3 33, 444
11, 148

∴ So the LCM of the given numbers is 3 x 11 x 148 = 4884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4884

Therefore, the GCF of Fractions 3054/33,1092/444 is 6/4884

Least Common Multiple of 33,444 with GCF Formula

Least Common Multiple of 33,444 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 33,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,444) = 3

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

GCF(33,444) x common factors =3 x 1 = 3

LCM(33,444) = ( 33 × 444 ) / 3

LCM(33,444) = 14652 / 3

LCM(33,444) = 4884


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 3054/33, 1092/444

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 3054/33, 1092/444?

Answer: GCF of Numerators as per given numbers 3054/33, 1092/444 is

GCF of Numerators i.e. for 3054,1092 is 6

LCM of denominators i.e. for 33,444 is 4884.

Thus, GCF of Fractions is 6/4884.Finally, GCF of Fractions for 3054/33, 1092/444 is 6/4884.