Greatest Common Factor of 9115/790, 9288/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9115/790, 9288/328

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 9115/790,9288/328

Given fractions are 9115/790,9288/328

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 9115,9288

Greatest Common Factor of Numerators i.e. GCF of 9115,9288 is 1 .

LCM of Denominators means LCM of 790,328 as per the given fractions.

LCM of 790,328 is 129560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9115,9288

GCF of Fractions 9115/790,9288/328 is 1/129560

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

Greatest Common Factor of 9115,9288 By Matching Biggest Common Factor Method

Greatest Common Factor of 9115,9288 By Matching Biggest Common Factor Method

Factors of 9115

List of positive integer factors of 9115 that divides 9115 without a remainder.

1,5,1823,9115

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288

Greatest Common Factor

We found the factors 9115,9288 . The biggest common factor number is the GCF number.
So the greatest common factor 9115,9288 is 1.

Lets's calculate LCM of 790,328

2 790, 328
395, 164

∴ So the LCM of the given numbers is 2 x 395 x 164 = 129560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129560

Therefore, the GCF of Fractions 9115/790,9288/328 is 1/129560

Least Common Multiple of 790,328 with GCF Formula

Least Common Multiple of 790,328 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 790,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,328) = 2

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

GCF(790,328) x common factors =2 x 1 = 2

LCM(790,328) = ( 790 × 328 ) / 2

LCM(790,328) = 259120 / 2

LCM(790,328) = 129560


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 9115/790, 9288/328

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 9115/790, 9288/328?

Answer: GCF of Numerators as per given numbers 9115/790, 9288/328 is

GCF of Numerators i.e. for 9115,9288 is 1

LCM of denominators i.e. for 790,328 is 129560.

Thus, GCF of Fractions is 1/129560.Finally, GCF of Fractions for 9115/790, 9288/328 is 1/129560.