Greatest Common Factor of 9726/47, 5584/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9726/47, 5584/471

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 9726/47,5584/471

Given fractions are 9726/47,5584/471

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 9726,5584

Greatest Common Factor of Numerators i.e. GCF of 9726,5584 is 2 .

LCM of Denominators means LCM of 47,471 as per the given fractions.

LCM of 47,471 is 22137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9726,5584

GCF of Fractions 9726/47,5584/471 is 2/22137

2 9726, 5584
4863, 2792

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9726,5584 By Matching Biggest Common Factor Method

Greatest Common Factor of 9726,5584 By Matching Biggest Common Factor Method

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1,2,3,6,1621,3242,4863,9726

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1,2,4,8,16,349,698,1396,2792,5584

Greatest Common Factor

We found the factors 9726,5584 . The biggest common factor number is the GCF number.
So the greatest common factor 9726,5584 is 2.

Lets's calculate LCM of 47,471

Given numbers has no common factors except 1. So, there LCM is their product i.e 22137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22137

Therefore, the GCF of Fractions 9726/47,5584/471 is 2/22137

Least Common Multiple of 47,471 with GCF Formula

Least Common Multiple of 47,471 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 47,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,471) = 1

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

GCF(47,471) x common factors =1 x 1 = 1

LCM(47,471) = ( 47 × 471 ) / 1

LCM(47,471) = 22137 / 1

LCM(47,471) = 22137


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 9726/47, 5584/471

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 9726/47, 5584/471?

Answer: GCF of Numerators as per given numbers 9726/47, 5584/471 is

GCF of Numerators i.e. for 9726,5584 is 2

LCM of denominators i.e. for 47,471 is 22137.

Thus, GCF of Fractions is 2/22137.Finally, GCF of Fractions for 9726/47, 5584/471 is 2/22137.