Greatest Common Factor of 4347/806, 3559/9703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4347/806, 3559/9703

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 4347/806,3559/9703

Given fractions are 4347/806,3559/9703

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 4347,3559

Greatest Common Factor of Numerators i.e. GCF of 4347,3559 is 1 .

LCM of Denominators means LCM of 806,9703 as per the given fractions.

LCM of 806,9703 is 252278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4347,3559

GCF of Fractions 4347/806,3559/9703 is 1/252278

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4347,3559 By Matching Biggest Common Factor Method

Greatest Common Factor of 4347,3559 By Matching Biggest Common Factor Method

Factors of 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347

Factors of 3559

List of positive integer factors of 3559 that divides 3559 without a remainder.

1,3559

Greatest Common Factor

We found the factors 4347,3559 . The biggest common factor number is the GCF number.
So the greatest common factor 4347,3559 is 1.

Lets's calculate LCM of 806,9703

31 806, 9703
26, 313

∴ So the LCM of the given numbers is 31 x 26 x 313 = 252278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252278

Therefore, the GCF of Fractions 4347/806,3559/9703 is 1/252278

Least Common Multiple of 806,9703 with GCF Formula

Least Common Multiple of 806,9703 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 806,9703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,9703) = 31

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

GCF(806,9703) x common factors =31 x 1 = 31

LCM(806,9703) = ( 806 × 9703 ) / 31

LCM(806,9703) = 7820618 / 31

LCM(806,9703) = 252278


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 4347/806, 3559/9703

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 4347/806, 3559/9703?

Answer: GCF of Numerators as per given numbers 4347/806, 3559/9703 is

GCF of Numerators i.e. for 4347,3559 is 1

LCM of denominators i.e. for 806,9703 is 252278.

Thus, GCF of Fractions is 1/252278.Finally, GCF of Fractions for 4347/806, 3559/9703 is 1/252278.