Greatest Common Factor of 198/96, 8414/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/96, 8414/718

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 198/96,8414/718

Given fractions are 198/96,8414/718

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 198,8414

Greatest Common Factor of Numerators i.e. GCF of 198,8414 is 2 .

LCM of Denominators means LCM of 96,718 as per the given fractions.

LCM of 96,718 is 34464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,8414

GCF of Fractions 198/96,8414/718 is 2/34464

2 198, 8414
99, 4207

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

Greatest Common Factor of 198,8414 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,8414 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 8414

List of positive integer factors of 8414 that divides 8414 without a remainder.

1,2,7,14,601,1202,4207,8414

Greatest Common Factor

We found the factors 198,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 198,8414 is 2.

Lets's calculate LCM of 96,718

2 96, 718
48, 359

∴ So the LCM of the given numbers is 2 x 48 x 359 = 34464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34464

Therefore, the GCF of Fractions 198/96,8414/718 is 2/34464

Least Common Multiple of 96,718 with GCF Formula

Least Common Multiple of 96,718 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 96,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,718) = 2

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

GCF(96,718) x common factors =2 x 1 = 2

LCM(96,718) = ( 96 × 718 ) / 2

LCM(96,718) = 68928 / 2

LCM(96,718) = 34464


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 198/96, 8414/718

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 198/96, 8414/718?

Answer: GCF of Numerators as per given numbers 198/96, 8414/718 is

GCF of Numerators i.e. for 198,8414 is 2

LCM of denominators i.e. for 96,718 is 34464.

Thus, GCF of Fractions is 2/34464.Finally, GCF of Fractions for 198/96, 8414/718 is 2/34464.