Greatest Common Factor of 4334/308, 8158/2416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4334/308, 8158/2416

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 4334/308,8158/2416

Given fractions are 4334/308,8158/2416

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 4334,8158

Greatest Common Factor of Numerators i.e. GCF of 4334,8158 is 2 .

LCM of Denominators means LCM of 308,2416 as per the given fractions.

LCM of 308,2416 is 186032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4334,8158

GCF of Fractions 4334/308,8158/2416 is 2/186032

2 4334, 8158
2167, 4079

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

Greatest Common Factor of 4334,8158 By Matching Biggest Common Factor Method

Greatest Common Factor of 4334,8158 By Matching Biggest Common Factor Method

Factors of 4334

List of positive integer factors of 4334 that divides 4334 without a remainder.

1,2,11,22,197,394,2167,4334

Factors of 8158

List of positive integer factors of 8158 that divides 8158 without a remainder.

1,2,4079,8158

Greatest Common Factor

We found the factors 4334,8158 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,8158 is 2.

Lets's calculate LCM of 308,2416

2 308, 2416
2 154, 1208
77, 604

∴ So the LCM of the given numbers is 2 x 2 x 77 x 604 = 186032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186032

Therefore, the GCF of Fractions 4334/308,8158/2416 is 2/186032

Least Common Multiple of 308,2416 with GCF Formula

Least Common Multiple of 308,2416 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 308,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,2416) = 4

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

GCF(308,2416) x common factors =4 x 1 = 4

LCM(308,2416) = ( 308 × 2416 ) / 4

LCM(308,2416) = 744128 / 4

LCM(308,2416) = 186032


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 4334/308, 8158/2416

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 4334/308, 8158/2416?

Answer: GCF of Numerators as per given numbers 4334/308, 8158/2416 is

GCF of Numerators i.e. for 4334,8158 is 2

LCM of denominators i.e. for 308,2416 is 186032.

Thus, GCF of Fractions is 2/186032.Finally, GCF of Fractions for 4334/308, 8158/2416 is 2/186032.