Greatest Common Factor of 9711/28, 9891/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9711/28, 9891/711

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 9711/28,9891/711

Given fractions are 9711/28,9891/711

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 9711,9891

Greatest Common Factor of Numerators i.e. GCF of 9711,9891 is 9 .

LCM of Denominators means LCM of 28,711 as per the given fractions.

LCM of 28,711 is 19908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9711,9891

GCF of Fractions 9711/28,9891/711 is 9/19908

3 9711, 9891
3 3237, 3297
1079, 1099

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9711,9891 By Matching Biggest Common Factor Method

Greatest Common Factor of 9711,9891 By Matching Biggest Common Factor Method

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

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1,3,7,9,21,63,157,471,1099,1413,3297,9891

Greatest Common Factor

We found the factors 9711,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 9711,9891 is 9.

Lets's calculate LCM of 28,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 19908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/19908

Therefore, the GCF of Fractions 9711/28,9891/711 is 9/19908

Least Common Multiple of 28,711 with GCF Formula

Least Common Multiple of 28,711 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 28,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,711) = 1

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

GCF(28,711) x common factors =1 x 1 = 1

LCM(28,711) = ( 28 × 711 ) / 1

LCM(28,711) = 19908 / 1

LCM(28,711) = 19908


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 9711/28, 9891/711

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 9711/28, 9891/711?

Answer: GCF of Numerators as per given numbers 9711/28, 9891/711 is

GCF of Numerators i.e. for 9711,9891 is 9

LCM of denominators i.e. for 28,711 is 19908.

Thus, GCF of Fractions is 9/19908.Finally, GCF of Fractions for 9711/28, 9891/711 is 9/19908.