Greatest Common Factor of 9703/540, 3671/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9703/540, 3671/734

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 9703/540,3671/734

Given fractions are 9703/540,3671/734

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 9703,3671

Greatest Common Factor of Numerators i.e. GCF of 9703,3671 is 1 .

LCM of Denominators means LCM of 540,734 as per the given fractions.

LCM of 540,734 is 198180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9703,3671

GCF of Fractions 9703/540,3671/734 is 1/198180

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

Greatest Common Factor of 9703,3671 By Matching Biggest Common Factor Method

Greatest Common Factor of 9703,3671 By Matching Biggest Common Factor Method

Factors of 9703

List of positive integer factors of 9703 that divides 9703 without a remainder.

1,31,313,9703

Factors of 3671

List of positive integer factors of 3671 that divides 3671 without a remainder.

1,3671

Greatest Common Factor

We found the factors 9703,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 9703,3671 is 1.

Lets's calculate LCM of 540,734

2 540, 734
270, 367

∴ So the LCM of the given numbers is 2 x 270 x 367 = 198180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198180

Therefore, the GCF of Fractions 9703/540,3671/734 is 1/198180

Least Common Multiple of 540,734 with GCF Formula

Least Common Multiple of 540,734 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 540,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,734) = 2

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

GCF(540,734) x common factors =2 x 1 = 2

LCM(540,734) = ( 540 × 734 ) / 2

LCM(540,734) = 396360 / 2

LCM(540,734) = 198180


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 9703/540, 3671/734

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 9703/540, 3671/734?

Answer: GCF of Numerators as per given numbers 9703/540, 3671/734 is

GCF of Numerators i.e. for 9703,3671 is 1

LCM of denominators i.e. for 540,734 is 198180.

Thus, GCF of Fractions is 1/198180.Finally, GCF of Fractions for 9703/540, 3671/734 is 1/198180.