Greatest Common Factor of 7306/260, 3806/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7306/260, 3806/180

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 7306/260,3806/180

Given fractions are 7306/260,3806/180

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 7306,3806

Greatest Common Factor of Numerators i.e. GCF of 7306,3806 is 2 .

LCM of Denominators means LCM of 260,180 as per the given fractions.

LCM of 260,180 is 2340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7306,3806

GCF of Fractions 7306/260,3806/180 is 2/2340

2 7306, 3806
3653, 1903

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

Greatest Common Factor of 7306,3806 By Matching Biggest Common Factor Method

Greatest Common Factor of 7306,3806 By Matching Biggest Common Factor Method

Factors of 7306

List of positive integer factors of 7306 that divides 7306 without a remainder.

1,2,13,26,281,562,3653,7306

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Greatest Common Factor

We found the factors 7306,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,3806 is 2.

Lets's calculate LCM of 260,180

2 260, 180
2 130, 90
5 65, 45
13, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 9 = 2340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2340

Therefore, the GCF of Fractions 7306/260,3806/180 is 2/2340

Least Common Multiple of 260,180 with GCF Formula

Least Common Multiple of 260,180 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 260,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,180) = 20

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

GCF(260,180) x common factors =20 x 1 = 20

LCM(260,180) = ( 260 × 180 ) / 20

LCM(260,180) = 46800 / 20

LCM(260,180) = 2340


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 7306/260, 3806/180

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 7306/260, 3806/180?

Answer: GCF of Numerators as per given numbers 7306/260, 3806/180 is

GCF of Numerators i.e. for 7306,3806 is 2

LCM of denominators i.e. for 260,180 is 2340.

Thus, GCF of Fractions is 2/2340.Finally, GCF of Fractions for 7306/260, 3806/180 is 2/2340.