Greatest Common Factor of 9279/336, 1286/9675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9279/336, 1286/9675

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 9279/336,1286/9675

Given fractions are 9279/336,1286/9675

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 9279,1286

Greatest Common Factor of Numerators i.e. GCF of 9279,1286 is 1 .

LCM of Denominators means LCM of 336,9675 as per the given fractions.

LCM of 336,9675 is 1083600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9279,1286

GCF of Fractions 9279/336,1286/9675 is 1/1083600

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

Greatest Common Factor of 9279,1286 By Matching Biggest Common Factor Method

Greatest Common Factor of 9279,1286 By Matching Biggest Common Factor Method

Factors of 9279

List of positive integer factors of 9279 that divides 9279 without a remainder.

1,3,9,1031,3093,9279

Factors of 1286

List of positive integer factors of 1286 that divides 1286 without a remainder.

1,2,643,1286

Greatest Common Factor

We found the factors 9279,1286 . The biggest common factor number is the GCF number.
So the greatest common factor 9279,1286 is 1.

Lets's calculate LCM of 336,9675

3 336, 9675
112, 3225

∴ So the LCM of the given numbers is 3 x 112 x 3225 = 1083600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1083600

Therefore, the GCF of Fractions 9279/336,1286/9675 is 1/1083600

Least Common Multiple of 336,9675 with GCF Formula

Least Common Multiple of 336,9675 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 336,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,9675) = 3

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

GCF(336,9675) x common factors =3 x 1 = 3

LCM(336,9675) = ( 336 × 9675 ) / 3

LCM(336,9675) = 3250800 / 3

LCM(336,9675) = 1083600


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 9279/336, 1286/9675

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 9279/336, 1286/9675?

Answer: GCF of Numerators as per given numbers 9279/336, 1286/9675 is

GCF of Numerators i.e. for 9279,1286 is 1

LCM of denominators i.e. for 336,9675 is 1083600.

Thus, GCF of Fractions is 1/1083600.Finally, GCF of Fractions for 9279/336, 1286/9675 is 1/1083600.