Greatest Common Factor of 9117/17, 2417/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9117/17, 2417/792

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 9117/17,2417/792

Given fractions are 9117/17,2417/792

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 9117,2417

Greatest Common Factor of Numerators i.e. GCF of 9117,2417 is 1 .

LCM of Denominators means LCM of 17,792 as per the given fractions.

LCM of 17,792 is 13464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9117,2417

GCF of Fractions 9117/17,2417/792 is 1/13464

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

Greatest Common Factor of 9117,2417 By Matching Biggest Common Factor Method

Greatest Common Factor of 9117,2417 By Matching Biggest Common Factor Method

Factors of 9117

List of positive integer factors of 9117 that divides 9117 without a remainder.

1,3,9,1013,3039,9117

Factors of 2417

List of positive integer factors of 2417 that divides 2417 without a remainder.

1,2417

Greatest Common Factor

We found the factors 9117,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 9117,2417 is 1.

Lets's calculate LCM of 17,792

Given numbers has no common factors except 1. So, there LCM is their product i.e 13464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13464

Therefore, the GCF of Fractions 9117/17,2417/792 is 1/13464

Least Common Multiple of 17,792 with GCF Formula

Least Common Multiple of 17,792 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 17,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,792) = 1

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

GCF(17,792) x common factors =1 x 1 = 1

LCM(17,792) = ( 17 × 792 ) / 1

LCM(17,792) = 13464 / 1

LCM(17,792) = 13464


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 9117/17, 2417/792

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 9117/17, 2417/792?

Answer: GCF of Numerators as per given numbers 9117/17, 2417/792 is

GCF of Numerators i.e. for 9117,2417 is 1

LCM of denominators i.e. for 17,792 is 13464.

Thus, GCF of Fractions is 1/13464.Finally, GCF of Fractions for 9117/17, 2417/792 is 1/13464.