Greatest Common Factor of 7395/54, 9299/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7395/54, 9299/759

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 7395/54,9299/759

Given fractions are 7395/54,9299/759

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 7395,9299

Greatest Common Factor of Numerators i.e. GCF of 7395,9299 is 17 .

LCM of Denominators means LCM of 54,759 as per the given fractions.

LCM of 54,759 is 13662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7395,9299

GCF of Fractions 7395/54,9299/759 is 17/13662

17 7395, 9299
435, 547

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7395,9299 By Matching Biggest Common Factor Method

Greatest Common Factor of 7395,9299 By Matching Biggest Common Factor Method

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Factors of 9299

List of positive integer factors of 9299 that divides 9299 without a remainder.

1,17,547,9299

Greatest Common Factor

We found the factors 7395,9299 . The biggest common factor number is the GCF number.
So the greatest common factor 7395,9299 is 17.

Lets's calculate LCM of 54,759

3 54, 759
18, 253

∴ So the LCM of the given numbers is 3 x 18 x 253 = 13662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/13662

Therefore, the GCF of Fractions 7395/54,9299/759 is 17/13662

Least Common Multiple of 54,759 with GCF Formula

Least Common Multiple of 54,759 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 54,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,759) = 3

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

GCF(54,759) x common factors =3 x 1 = 3

LCM(54,759) = ( 54 × 759 ) / 3

LCM(54,759) = 40986 / 3

LCM(54,759) = 13662


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 7395/54, 9299/759

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 7395/54, 9299/759?

Answer: GCF of Numerators as per given numbers 7395/54, 9299/759 is

GCF of Numerators i.e. for 7395,9299 is 17

LCM of denominators i.e. for 54,759 is 13662.

Thus, GCF of Fractions is 17/13662.Finally, GCF of Fractions for 7395/54, 9299/759 is 17/13662.