Greatest Common Factor of 5166/71, 5115/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5166/71, 5115/979

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 5166/71,5115/979

Given fractions are 5166/71,5115/979

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 5166,5115

Greatest Common Factor of Numerators i.e. GCF of 5166,5115 is 3 .

LCM of Denominators means LCM of 71,979 as per the given fractions.

LCM of 71,979 is 69509 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5166,5115

GCF of Fractions 5166/71,5115/979 is 3/69509

3 5166, 5115
1722, 1705

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

Greatest Common Factor of 5166,5115 By Matching Biggest Common Factor Method

Greatest Common Factor of 5166,5115 By Matching Biggest Common Factor Method

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

Factors of 5115

List of positive integer factors of 5115 that divides 5115 without a remainder.

1,3,5,11,15,31,33,55,93,155,165,341,465,1023,1705,5115

Greatest Common Factor

We found the factors 5166,5115 . The biggest common factor number is the GCF number.
So the greatest common factor 5166,5115 is 3.

Lets's calculate LCM of 71,979

Given numbers has no common factors except 1. So, there LCM is their product i.e 69509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69509

Therefore, the GCF of Fractions 5166/71,5115/979 is 3/69509

Least Common Multiple of 71,979 with GCF Formula

Least Common Multiple of 71,979 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 71,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,979) = 1

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

GCF(71,979) x common factors =1 x 1 = 1

LCM(71,979) = ( 71 × 979 ) / 1

LCM(71,979) = 69509 / 1

LCM(71,979) = 69509


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 5166/71, 5115/979

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 5166/71, 5115/979?

Answer: GCF of Numerators as per given numbers 5166/71, 5115/979 is

GCF of Numerators i.e. for 5166,5115 is 3

LCM of denominators i.e. for 71,979 is 69509.

Thus, GCF of Fractions is 3/69509.Finally, GCF of Fractions for 5166/71, 5115/979 is 3/69509.