Greatest Common Factor of 9106/398, 2692/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9106/398, 2692/146

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 9106/398,2692/146

Given fractions are 9106/398,2692/146

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 9106,2692

Greatest Common Factor of Numerators i.e. GCF of 9106,2692 is 2 .

LCM of Denominators means LCM of 398,146 as per the given fractions.

LCM of 398,146 is 29054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9106,2692

GCF of Fractions 9106/398,2692/146 is 2/29054

2 9106, 2692
4553, 1346

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

Greatest Common Factor of 9106,2692 By Matching Biggest Common Factor Method

Greatest Common Factor of 9106,2692 By Matching Biggest Common Factor Method

Factors of 9106

List of positive integer factors of 9106 that divides 9106 without a remainder.

1,2,29,58,157,314,4553,9106

Factors of 2692

List of positive integer factors of 2692 that divides 2692 without a remainder.

1,2,4,673,1346,2692

Greatest Common Factor

We found the factors 9106,2692 . The biggest common factor number is the GCF number.
So the greatest common factor 9106,2692 is 2.

Lets's calculate LCM of 398,146

2 398, 146
199, 73

∴ So the LCM of the given numbers is 2 x 199 x 73 = 29054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29054

Therefore, the GCF of Fractions 9106/398,2692/146 is 2/29054

Least Common Multiple of 398,146 with GCF Formula

Least Common Multiple of 398,146 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 398,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,146) = 2

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

GCF(398,146) x common factors =2 x 1 = 2

LCM(398,146) = ( 398 × 146 ) / 2

LCM(398,146) = 58108 / 2

LCM(398,146) = 29054


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 9106/398, 2692/146

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 9106/398, 2692/146?

Answer: GCF of Numerators as per given numbers 9106/398, 2692/146 is

GCF of Numerators i.e. for 9106,2692 is 2

LCM of denominators i.e. for 398,146 is 29054.

Thus, GCF of Fractions is 2/29054.Finally, GCF of Fractions for 9106/398, 2692/146 is 2/29054.