Greatest Common Factor of 7251/958, 9879/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7251/958, 9879/243

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 7251/958,9879/243

Given fractions are 7251/958,9879/243

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 7251,9879

Greatest Common Factor of Numerators i.e. GCF of 7251,9879 is 3 .

LCM of Denominators means LCM of 958,243 as per the given fractions.

LCM of 958,243 is 232794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7251,9879

GCF of Fractions 7251/958,9879/243 is 3/232794

3 7251, 9879
2417, 3293

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7251,9879 By Matching Biggest Common Factor Method

Greatest Common Factor of 7251,9879 By Matching Biggest Common Factor Method

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1,3,2417,7251

Factors of 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1,3,37,89,111,267,3293,9879

Greatest Common Factor

We found the factors 7251,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 7251,9879 is 3.

Lets's calculate LCM of 958,243

Given numbers has no common factors except 1. So, there LCM is their product i.e 232794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/232794

Therefore, the GCF of Fractions 7251/958,9879/243 is 3/232794

Least Common Multiple of 958,243 with GCF Formula

Least Common Multiple of 958,243 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 958,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,243) = 1

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

GCF(958,243) x common factors =1 x 1 = 1

LCM(958,243) = ( 958 × 243 ) / 1

LCM(958,243) = 232794 / 1

LCM(958,243) = 232794


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 7251/958, 9879/243

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 7251/958, 9879/243?

Answer: GCF of Numerators as per given numbers 7251/958, 9879/243 is

GCF of Numerators i.e. for 7251,9879 is 3

LCM of denominators i.e. for 958,243 is 232794.

Thus, GCF of Fractions is 3/232794.Finally, GCF of Fractions for 7251/958, 9879/243 is 3/232794.