Greatest Common Factor of 7306/838, 7267/6848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7306/838, 7267/6848

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 7306/838,7267/6848

Given fractions are 7306/838,7267/6848

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 7306,7267

Greatest Common Factor of Numerators i.e. GCF of 7306,7267 is 13 .

LCM of Denominators means LCM of 838,6848 as per the given fractions.

LCM of 838,6848 is 2869312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7306,7267

GCF of Fractions 7306/838,7267/6848 is 13/2869312

13 7306, 7267
562, 559

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7306,7267 By Matching Biggest Common Factor Method

Greatest Common Factor of 7306,7267 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 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1,13,43,169,559,7267

Greatest Common Factor

We found the factors 7306,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,7267 is 13.

Lets's calculate LCM of 838,6848

2 838, 6848
419, 3424

∴ So the LCM of the given numbers is 2 x 419 x 3424 = 2869312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2869312

Therefore, the GCF of Fractions 7306/838,7267/6848 is 13/2869312

Least Common Multiple of 838,6848 with GCF Formula

Least Common Multiple of 838,6848 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 838,6848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,6848) = 2

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

GCF(838,6848) x common factors =2 x 1 = 2

LCM(838,6848) = ( 838 × 6848 ) / 2

LCM(838,6848) = 5738624 / 2

LCM(838,6848) = 2869312


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 7306/838, 7267/6848

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 7306/838, 7267/6848?

Answer: GCF of Numerators as per given numbers 7306/838, 7267/6848 is

GCF of Numerators i.e. for 7306,7267 is 13

LCM of denominators i.e. for 838,6848 is 2869312.

Thus, GCF of Fractions is 13/2869312.Finally, GCF of Fractions for 7306/838, 7267/6848 is 13/2869312.