Greatest Common Factor of 9934/31, 7708/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9934/31, 7708/878

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 9934/31,7708/878

Given fractions are 9934/31,7708/878

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 9934,7708

Greatest Common Factor of Numerators i.e. GCF of 9934,7708 is 2 .

LCM of Denominators means LCM of 31,878 as per the given fractions.

LCM of 31,878 is 27218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9934,7708

GCF of Fractions 9934/31,7708/878 is 2/27218

2 9934, 7708
4967, 3854

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

Greatest Common Factor of 9934,7708 By Matching Biggest Common Factor Method

Greatest Common Factor of 9934,7708 By Matching Biggest Common Factor Method

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1,2,4,41,47,82,94,164,188,1927,3854,7708

Greatest Common Factor

We found the factors 9934,7708 . The biggest common factor number is the GCF number.
So the greatest common factor 9934,7708 is 2.

Lets's calculate LCM of 31,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 27218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27218

Therefore, the GCF of Fractions 9934/31,7708/878 is 2/27218

Least Common Multiple of 31,878 with GCF Formula

Least Common Multiple of 31,878 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 31,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,878) = 1

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

GCF(31,878) x common factors =1 x 1 = 1

LCM(31,878) = ( 31 × 878 ) / 1

LCM(31,878) = 27218 / 1

LCM(31,878) = 27218


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 9934/31, 7708/878

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 9934/31, 7708/878?

Answer: GCF of Numerators as per given numbers 9934/31, 7708/878 is

GCF of Numerators i.e. for 9934,7708 is 2

LCM of denominators i.e. for 31,878 is 27218.

Thus, GCF of Fractions is 2/27218.Finally, GCF of Fractions for 9934/31, 7708/878 is 2/27218.