Greatest Common Factor of 2478/446, 5694/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2478/446, 5694/672

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 2478/446,5694/672

Given fractions are 2478/446,5694/672

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 2478,5694

Greatest Common Factor of Numerators i.e. GCF of 2478,5694 is 6 .

LCM of Denominators means LCM of 446,672 as per the given fractions.

LCM of 446,672 is 149856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2478,5694

GCF of Fractions 2478/446,5694/672 is 6/149856

2 2478, 5694
3 1239, 2847
413, 949

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

Greatest Common Factor of 2478,5694 By Matching Biggest Common Factor Method

Greatest Common Factor of 2478,5694 By Matching Biggest Common Factor Method

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Greatest Common Factor

We found the factors 2478,5694 . The biggest common factor number is the GCF number.
So the greatest common factor 2478,5694 is 6.

Lets's calculate LCM of 446,672

2 446, 672
223, 336

∴ So the LCM of the given numbers is 2 x 223 x 336 = 149856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/149856

Therefore, the GCF of Fractions 2478/446,5694/672 is 6/149856

Least Common Multiple of 446,672 with GCF Formula

Least Common Multiple of 446,672 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 446,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,672) = 2

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

GCF(446,672) x common factors =2 x 1 = 2

LCM(446,672) = ( 446 × 672 ) / 2

LCM(446,672) = 299712 / 2

LCM(446,672) = 149856


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2478/446, 5694/672

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 2478/446, 5694/672?

Answer: GCF of Numerators as per given numbers 2478/446, 5694/672 is

GCF of Numerators i.e. for 2478,5694 is 6

LCM of denominators i.e. for 446,672 is 149856.

Thus, GCF of Fractions is 6/149856.Finally, GCF of Fractions for 2478/446, 5694/672 is 6/149856.