Greatest Common Factor of 7334/98, 7413/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7334/98, 7413/344

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 7334/98,7413/344

Given fractions are 7334/98,7413/344

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 7334,7413

Greatest Common Factor of Numerators i.e. GCF of 7334,7413 is 1 .

LCM of Denominators means LCM of 98,344 as per the given fractions.

LCM of 98,344 is 16856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7334,7413

GCF of Fractions 7334/98,7413/344 is 1/16856

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

Greatest Common Factor of 7334,7413 By Matching Biggest Common Factor Method

Greatest Common Factor of 7334,7413 By Matching Biggest Common Factor Method

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1,2,19,38,193,386,3667,7334

Factors of 7413

List of positive integer factors of 7413 that divides 7413 without a remainder.

1,3,7,21,353,1059,2471,7413

Greatest Common Factor

We found the factors 7334,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 7334,7413 is 1.

Lets's calculate LCM of 98,344

2 98, 344
49, 172

∴ So the LCM of the given numbers is 2 x 49 x 172 = 16856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16856

Therefore, the GCF of Fractions 7334/98,7413/344 is 1/16856

Least Common Multiple of 98,344 with GCF Formula

Least Common Multiple of 98,344 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 98,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,344) = 2

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

GCF(98,344) x common factors =2 x 1 = 2

LCM(98,344) = ( 98 × 344 ) / 2

LCM(98,344) = 33712 / 2

LCM(98,344) = 16856


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 7334/98, 7413/344

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 7334/98, 7413/344?

Answer: GCF of Numerators as per given numbers 7334/98, 7413/344 is

GCF of Numerators i.e. for 7334,7413 is 1

LCM of denominators i.e. for 98,344 is 16856.

Thus, GCF of Fractions is 1/16856.Finally, GCF of Fractions for 7334/98, 7413/344 is 1/16856.