Greatest Common Factor of 7059/289, 9711/4737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7059/289, 9711/4737

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 7059/289,9711/4737

Given fractions are 7059/289,9711/4737

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 7059,9711

Greatest Common Factor of Numerators i.e. GCF of 7059,9711 is 39 .

LCM of Denominators means LCM of 289,4737 as per the given fractions.

LCM of 289,4737 is 1368993 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7059,9711

GCF of Fractions 7059/289,9711/4737 is 39/1368993

3 7059, 9711
13 2353, 3237
181, 249

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 7059,9711 By Matching Biggest Common Factor Method

Greatest Common Factor of 7059,9711 By Matching Biggest Common Factor Method

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1,3,13,39,181,543,2353,7059

Factors of 9711

List of positive integer factors of 9711 that divides 9711 without a remainder.

1,3,9,13,39,83,117,249,747,1079,3237,9711

Greatest Common Factor

We found the factors 7059,9711 . The biggest common factor number is the GCF number.
So the greatest common factor 7059,9711 is 39.

Lets's calculate LCM of 289,4737

Given numbers has no common factors except 1. So, there LCM is their product i.e 1368993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/1368993

Therefore, the GCF of Fractions 7059/289,9711/4737 is 39/1368993

Least Common Multiple of 289,4737 with GCF Formula

Least Common Multiple of 289,4737 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 289,4737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,4737) = 1

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

GCF(289,4737) x common factors =1 x 1 = 1

LCM(289,4737) = ( 289 × 4737 ) / 1

LCM(289,4737) = 1368993 / 1

LCM(289,4737) = 1368993


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 7059/289, 9711/4737

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 7059/289, 9711/4737?

Answer: GCF of Numerators as per given numbers 7059/289, 9711/4737 is

GCF of Numerators i.e. for 7059,9711 is 39

LCM of denominators i.e. for 289,4737 is 1368993.

Thus, GCF of Fractions is 39/1368993.Finally, GCF of Fractions for 7059/289, 9711/4737 is 39/1368993.