Greatest Common Factor of 9298/969, 4604/6810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9298/969, 4604/6810

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 9298/969,4604/6810

Given fractions are 9298/969,4604/6810

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 9298,4604

Greatest Common Factor of Numerators i.e. GCF of 9298,4604 is 2 .

LCM of Denominators means LCM of 969,6810 as per the given fractions.

LCM of 969,6810 is 2199630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9298,4604

GCF of Fractions 9298/969,4604/6810 is 2/2199630

2 9298, 4604
4649, 2302

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

Greatest Common Factor of 9298,4604 By Matching Biggest Common Factor Method

Greatest Common Factor of 9298,4604 By Matching Biggest Common Factor Method

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1,2,4649,9298

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1,2,4,1151,2302,4604

Greatest Common Factor

We found the factors 9298,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,4604 is 2.

Lets's calculate LCM of 969,6810

3 969, 6810
323, 2270

∴ So the LCM of the given numbers is 3 x 323 x 2270 = 2199630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2199630

Therefore, the GCF of Fractions 9298/969,4604/6810 is 2/2199630

Least Common Multiple of 969,6810 with GCF Formula

Least Common Multiple of 969,6810 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 969,6810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,6810) = 3

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

GCF(969,6810) x common factors =3 x 1 = 3

LCM(969,6810) = ( 969 × 6810 ) / 3

LCM(969,6810) = 6598890 / 3

LCM(969,6810) = 2199630


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 9298/969, 4604/6810

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 9298/969, 4604/6810?

Answer: GCF of Numerators as per given numbers 9298/969, 4604/6810 is

GCF of Numerators i.e. for 9298,4604 is 2

LCM of denominators i.e. for 969,6810 is 2199630.

Thus, GCF of Fractions is 2/2199630.Finally, GCF of Fractions for 9298/969, 4604/6810 is 2/2199630.