Greatest Common Factor of 9670/39, 5509/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9670/39, 5509/288

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 9670/39,5509/288

Given fractions are 9670/39,5509/288

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 9670,5509

Greatest Common Factor of Numerators i.e. GCF of 9670,5509 is 1 .

LCM of Denominators means LCM of 39,288 as per the given fractions.

LCM of 39,288 is 3744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9670,5509

GCF of Fractions 9670/39,5509/288 is 1/3744

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

Greatest Common Factor of 9670,5509 By Matching Biggest Common Factor Method

Greatest Common Factor of 9670,5509 By Matching Biggest Common Factor Method

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1,7,787,5509

Greatest Common Factor

We found the factors 9670,5509 . The biggest common factor number is the GCF number.
So the greatest common factor 9670,5509 is 1.

Lets's calculate LCM of 39,288

3 39, 288
13, 96

∴ So the LCM of the given numbers is 3 x 13 x 96 = 3744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744

Therefore, the GCF of Fractions 9670/39,5509/288 is 1/3744

Least Common Multiple of 39,288 with GCF Formula

Least Common Multiple of 39,288 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 39,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,288) = 3

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

GCF(39,288) x common factors =3 x 1 = 3

LCM(39,288) = ( 39 × 288 ) / 3

LCM(39,288) = 11232 / 3

LCM(39,288) = 3744


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 9670/39, 5509/288

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 9670/39, 5509/288?

Answer: GCF of Numerators as per given numbers 9670/39, 5509/288 is

GCF of Numerators i.e. for 9670,5509 is 1

LCM of denominators i.e. for 39,288 is 3744.

Thus, GCF of Fractions is 1/3744.Finally, GCF of Fractions for 9670/39, 5509/288 is 1/3744.