Greatest Common Factor of 5128/308, 1168/2339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5128/308, 1168/2339

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 5128/308,1168/2339

Given fractions are 5128/308,1168/2339

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 5128,1168

Greatest Common Factor of Numerators i.e. GCF of 5128,1168 is 8 .

LCM of Denominators means LCM of 308,2339 as per the given fractions.

LCM of 308,2339 is 720412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5128,1168

GCF of Fractions 5128/308,1168/2339 is 8/720412

2 5128, 1168
2 2564, 584
2 1282, 292
641, 146

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5128,1168 By Matching Biggest Common Factor Method

Greatest Common Factor of 5128,1168 By Matching Biggest Common Factor Method

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1,2,4,8,641,1282,2564,5128

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1,2,4,8,16,73,146,292,584,1168

Greatest Common Factor

We found the factors 5128,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 5128,1168 is 8.

Lets's calculate LCM of 308,2339

Given numbers has no common factors except 1. So, there LCM is their product i.e 720412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/720412

Therefore, the GCF of Fractions 5128/308,1168/2339 is 8/720412

Least Common Multiple of 308,2339 with GCF Formula

Least Common Multiple of 308,2339 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 308,2339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,2339) = 1

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

GCF(308,2339) x common factors =1 x 1 = 1

LCM(308,2339) = ( 308 × 2339 ) / 1

LCM(308,2339) = 720412 / 1

LCM(308,2339) = 720412


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 5128/308, 1168/2339

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 5128/308, 1168/2339?

Answer: GCF of Numerators as per given numbers 5128/308, 1168/2339 is

GCF of Numerators i.e. for 5128,1168 is 8

LCM of denominators i.e. for 308,2339 is 720412.

Thus, GCF of Fractions is 8/720412.Finally, GCF of Fractions for 5128/308, 1168/2339 is 8/720412.