Greatest Common Factor of 4578/48, 2874/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4578/48, 2874/344

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 4578/48,2874/344

Given fractions are 4578/48,2874/344

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 4578,2874

Greatest Common Factor of Numerators i.e. GCF of 4578,2874 is 6 .

LCM of Denominators means LCM of 48,344 as per the given fractions.

LCM of 48,344 is 2064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4578,2874

GCF of Fractions 4578/48,2874/344 is 6/2064

2 4578, 2874
3 2289, 1437
763, 479

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

Greatest Common Factor of 4578,2874 By Matching Biggest Common Factor Method

Greatest Common Factor of 4578,2874 By Matching Biggest Common Factor Method

Factors of 4578

List of positive integer factors of 4578 that divides 4578 without a remainder.

1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1,2,3,6,479,958,1437,2874

Greatest Common Factor

We found the factors 4578,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 4578,2874 is 6.

Lets's calculate LCM of 48,344

2 48, 344
2 24, 172
2 12, 86
6, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 43 = 2064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2064

Therefore, the GCF of Fractions 4578/48,2874/344 is 6/2064

Least Common Multiple of 48,344 with GCF Formula

Least Common Multiple of 48,344 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 48,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,344) = 8

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

GCF(48,344) x common factors =8 x 1 = 8

LCM(48,344) = ( 48 × 344 ) / 8

LCM(48,344) = 16512 / 8

LCM(48,344) = 2064


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 4578/48, 2874/344

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 4578/48, 2874/344?

Answer: GCF of Numerators as per given numbers 4578/48, 2874/344 is

GCF of Numerators i.e. for 4578,2874 is 6

LCM of denominators i.e. for 48,344 is 2064.

Thus, GCF of Fractions is 6/2064.Finally, GCF of Fractions for 4578/48, 2874/344 is 6/2064.