Greatest Common Factor of 5117/76, 9939/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5117/76, 9939/308

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 5117/76,9939/308

Given fractions are 5117/76,9939/308

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 5117,9939

Greatest Common Factor of Numerators i.e. GCF of 5117,9939 is 1 .

LCM of Denominators means LCM of 76,308 as per the given fractions.

LCM of 76,308 is 5852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5117,9939

GCF of Fractions 5117/76,9939/308 is 1/5852

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5117,9939 By Matching Biggest Common Factor Method

Greatest Common Factor of 5117,9939 By Matching Biggest Common Factor Method

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1,7,17,43,119,301,731,5117

Factors of 9939

List of positive integer factors of 9939 that divides 9939 without a remainder.

1,3,3313,9939

Greatest Common Factor

We found the factors 5117,9939 . The biggest common factor number is the GCF number.
So the greatest common factor 5117,9939 is 1.

Lets's calculate LCM of 76,308

2 76, 308
2 38, 154
19, 77

∴ So the LCM of the given numbers is 2 x 2 x 19 x 77 = 5852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5852

Therefore, the GCF of Fractions 5117/76,9939/308 is 1/5852

Least Common Multiple of 76,308 with GCF Formula

Least Common Multiple of 76,308 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 76,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,308) = 4

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

GCF(76,308) x common factors =4 x 1 = 4

LCM(76,308) = ( 76 × 308 ) / 4

LCM(76,308) = 23408 / 4

LCM(76,308) = 5852


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 5117/76, 9939/308

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 5117/76, 9939/308?

Answer: GCF of Numerators as per given numbers 5117/76, 9939/308 is

GCF of Numerators i.e. for 5117,9939 is 1

LCM of denominators i.e. for 76,308 is 5852.

Thus, GCF of Fractions is 1/5852.Finally, GCF of Fractions for 5117/76, 9939/308 is 1/5852.