Greatest Common Factor of 1108/74, 9194/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1108/74, 9194/198

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 1108/74,9194/198

Given fractions are 1108/74,9194/198

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 1108,9194

Greatest Common Factor of Numerators i.e. GCF of 1108,9194 is 2 .

LCM of Denominators means LCM of 74,198 as per the given fractions.

LCM of 74,198 is 7326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1108,9194

GCF of Fractions 1108/74,9194/198 is 2/7326

2 1108, 9194
554, 4597

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

Greatest Common Factor of 1108,9194 By Matching Biggest Common Factor Method

Greatest Common Factor of 1108,9194 By Matching Biggest Common Factor Method

Factors of 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1,2,4,277,554,1108

Factors of 9194

List of positive integer factors of 9194 that divides 9194 without a remainder.

1,2,4597,9194

Greatest Common Factor

We found the factors 1108,9194 . The biggest common factor number is the GCF number.
So the greatest common factor 1108,9194 is 2.

Lets's calculate LCM of 74,198

2 74, 198
37, 99

∴ So the LCM of the given numbers is 2 x 37 x 99 = 7326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7326

Therefore, the GCF of Fractions 1108/74,9194/198 is 2/7326

Least Common Multiple of 74,198 with GCF Formula

Least Common Multiple of 74,198 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 74,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,198) = 2

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

GCF(74,198) x common factors =2 x 1 = 2

LCM(74,198) = ( 74 × 198 ) / 2

LCM(74,198) = 14652 / 2

LCM(74,198) = 7326


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 1108/74, 9194/198

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 1108/74, 9194/198?

Answer: GCF of Numerators as per given numbers 1108/74, 9194/198 is

GCF of Numerators i.e. for 1108,9194 is 2

LCM of denominators i.e. for 74,198 is 7326.

Thus, GCF of Fractions is 2/7326.Finally, GCF of Fractions for 1108/74, 9194/198 is 2/7326.