Greatest Common Factor of 5048/969, 7298/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5048/969, 7298/966

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 5048/969,7298/966

Given fractions are 5048/969,7298/966

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 5048,7298

Greatest Common Factor of Numerators i.e. GCF of 5048,7298 is 2 .

LCM of Denominators means LCM of 969,966 as per the given fractions.

LCM of 969,966 is 312018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5048,7298

GCF of Fractions 5048/969,7298/966 is 2/312018

2 5048, 7298
2524, 3649

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

Greatest Common Factor of 5048,7298 By Matching Biggest Common Factor Method

Greatest Common Factor of 5048,7298 By Matching Biggest Common Factor Method

Factors of 5048

List of positive integer factors of 5048 that divides 5048 without a remainder.

1,2,4,8,631,1262,2524,5048

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 5048,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 5048,7298 is 2.

Lets's calculate LCM of 969,966

3 969, 966
323, 322

∴ So the LCM of the given numbers is 3 x 323 x 322 = 312018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/312018

Therefore, the GCF of Fractions 5048/969,7298/966 is 2/312018

Least Common Multiple of 969,966 with GCF Formula

Least Common Multiple of 969,966 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 969,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,966) = 3

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

GCF(969,966) x common factors =3 x 1 = 3

LCM(969,966) = ( 969 × 966 ) / 3

LCM(969,966) = 936054 / 3

LCM(969,966) = 312018


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 5048/969, 7298/966

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 5048/969, 7298/966?

Answer: GCF of Numerators as per given numbers 5048/969, 7298/966 is

GCF of Numerators i.e. for 5048,7298 is 2

LCM of denominators i.e. for 969,966 is 312018.

Thus, GCF of Fractions is 2/312018.Finally, GCF of Fractions for 5048/969, 7298/966 is 2/312018.