Greatest Common Factor of 7328/981, 9518/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7328/981, 9518/345

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 7328/981,9518/345

Given fractions are 7328/981,9518/345

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 7328,9518

Greatest Common Factor of Numerators i.e. GCF of 7328,9518 is 2 .

LCM of Denominators means LCM of 981,345 as per the given fractions.

LCM of 981,345 is 112815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7328,9518

GCF of Fractions 7328/981,9518/345 is 2/112815

2 7328, 9518
3664, 4759

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

Greatest Common Factor of 7328,9518 By Matching Biggest Common Factor Method

Greatest Common Factor of 7328,9518 By Matching Biggest Common Factor Method

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Factors of 9518

List of positive integer factors of 9518 that divides 9518 without a remainder.

1,2,4759,9518

Greatest Common Factor

We found the factors 7328,9518 . The biggest common factor number is the GCF number.
So the greatest common factor 7328,9518 is 2.

Lets's calculate LCM of 981,345

3 981, 345
327, 115

∴ So the LCM of the given numbers is 3 x 327 x 115 = 112815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112815

Therefore, the GCF of Fractions 7328/981,9518/345 is 2/112815

Least Common Multiple of 981,345 with GCF Formula

Least Common Multiple of 981,345 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 981,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,345) = 3

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

GCF(981,345) x common factors =3 x 1 = 3

LCM(981,345) = ( 981 × 345 ) / 3

LCM(981,345) = 338445 / 3

LCM(981,345) = 112815


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 7328/981, 9518/345

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 7328/981, 9518/345?

Answer: GCF of Numerators as per given numbers 7328/981, 9518/345 is

GCF of Numerators i.e. for 7328,9518 is 2

LCM of denominators i.e. for 981,345 is 112815.

Thus, GCF of Fractions is 2/112815.Finally, GCF of Fractions for 7328/981, 9518/345 is 2/112815.