Greatest Common Factor of 4947/139, 8631/7099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4947/139, 8631/7099

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 4947/139,8631/7099

Given fractions are 4947/139,8631/7099

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 4947,8631

Greatest Common Factor of Numerators i.e. GCF of 4947,8631 is 3 .

LCM of Denominators means LCM of 139,7099 as per the given fractions.

LCM of 139,7099 is 986761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4947,8631

GCF of Fractions 4947/139,8631/7099 is 3/986761

3 4947, 8631
1649, 2877

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

Greatest Common Factor of 4947,8631 By Matching Biggest Common Factor Method

Greatest Common Factor of 4947,8631 By Matching Biggest Common Factor Method

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1,3,17,51,97,291,1649,4947

Factors of 8631

List of positive integer factors of 8631 that divides 8631 without a remainder.

1,3,7,9,21,63,137,411,959,1233,2877,8631

Greatest Common Factor

We found the factors 4947,8631 . The biggest common factor number is the GCF number.
So the greatest common factor 4947,8631 is 3.

Lets's calculate LCM of 139,7099

Given numbers has no common factors except 1. So, there LCM is their product i.e 986761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/986761

Therefore, the GCF of Fractions 4947/139,8631/7099 is 3/986761

Least Common Multiple of 139,7099 with GCF Formula

Least Common Multiple of 139,7099 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 139,7099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,7099) = 1

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

GCF(139,7099) x common factors =1 x 1 = 1

LCM(139,7099) = ( 139 × 7099 ) / 1

LCM(139,7099) = 986761 / 1

LCM(139,7099) = 986761


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 4947/139, 8631/7099

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 4947/139, 8631/7099?

Answer: GCF of Numerators as per given numbers 4947/139, 8631/7099 is

GCF of Numerators i.e. for 4947,8631 is 3

LCM of denominators i.e. for 139,7099 is 986761.

Thus, GCF of Fractions is 3/986761.Finally, GCF of Fractions for 4947/139, 8631/7099 is 3/986761.