Greatest Common Factor of 9437/17, 7704/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9437/17, 7704/139

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 9437/17,7704/139

Given fractions are 9437/17,7704/139

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 9437,7704

Greatest Common Factor of Numerators i.e. GCF of 9437,7704 is 1 .

LCM of Denominators means LCM of 17,139 as per the given fractions.

LCM of 17,139 is 2363 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9437,7704

GCF of Fractions 9437/17,7704/139 is 1/2363

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

Greatest Common Factor of 9437,7704 By Matching Biggest Common Factor Method

Greatest Common Factor of 9437,7704 By Matching Biggest Common Factor Method

Factors of 9437

List of positive integer factors of 9437 that divides 9437 without a remainder.

1,9437

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704

Greatest Common Factor

We found the factors 9437,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 9437,7704 is 1.

Lets's calculate LCM of 17,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 2363

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2363

Therefore, the GCF of Fractions 9437/17,7704/139 is 1/2363

Least Common Multiple of 17,139 with GCF Formula

Least Common Multiple of 17,139 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 17,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,139) = 1

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

GCF(17,139) x common factors =1 x 1 = 1

LCM(17,139) = ( 17 × 139 ) / 1

LCM(17,139) = 2363 / 1

LCM(17,139) = 2363


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 9437/17, 7704/139

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 9437/17, 7704/139?

Answer: GCF of Numerators as per given numbers 9437/17, 7704/139 is

GCF of Numerators i.e. for 9437,7704 is 1

LCM of denominators i.e. for 17,139 is 2363.

Thus, GCF of Fractions is 1/2363.Finally, GCF of Fractions for 9437/17, 7704/139 is 1/2363.