Greatest Common Factor of 4678/347, 7298/4460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4678/347, 7298/4460

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 4678/347,7298/4460

Given fractions are 4678/347,7298/4460

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 4678,7298

Greatest Common Factor of Numerators i.e. GCF of 4678,7298 is 2 .

LCM of Denominators means LCM of 347,4460 as per the given fractions.

LCM of 347,4460 is 1547620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4678,7298

GCF of Fractions 4678/347,7298/4460 is 2/1547620

2 4678, 7298
2339, 3649

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

Greatest Common Factor of 4678,7298 By Matching Biggest Common Factor Method

Greatest Common Factor of 4678,7298 By Matching Biggest Common Factor Method

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1,2,41,82,89,178,3649,7298

Greatest Common Factor

We found the factors 4678,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 4678,7298 is 2.

Lets's calculate LCM of 347,4460

Given numbers has no common factors except 1. So, there LCM is their product i.e 1547620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1547620

Therefore, the GCF of Fractions 4678/347,7298/4460 is 2/1547620

Least Common Multiple of 347,4460 with GCF Formula

Least Common Multiple of 347,4460 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 347,4460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,4460) = 1

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

GCF(347,4460) x common factors =1 x 1 = 1

LCM(347,4460) = ( 347 × 4460 ) / 1

LCM(347,4460) = 1547620 / 1

LCM(347,4460) = 1547620


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 4678/347, 7298/4460

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 4678/347, 7298/4460?

Answer: GCF of Numerators as per given numbers 4678/347, 7298/4460 is

GCF of Numerators i.e. for 4678,7298 is 2

LCM of denominators i.e. for 347,4460 is 1547620.

Thus, GCF of Fractions is 2/1547620.Finally, GCF of Fractions for 4678/347, 7298/4460 is 2/1547620.