Greatest Common Factor of 3198/626, 8154/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3198/626, 8154/494

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 3198/626,8154/494

Given fractions are 3198/626,8154/494

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 3198,8154

Greatest Common Factor of Numerators i.e. GCF of 3198,8154 is 6 .

LCM of Denominators means LCM of 626,494 as per the given fractions.

LCM of 626,494 is 154622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3198,8154

GCF of Fractions 3198/626,8154/494 is 6/154622

2 3198, 8154
3 1599, 4077
533, 1359

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3198,8154 By Matching Biggest Common Factor Method

Greatest Common Factor of 3198,8154 By Matching Biggest Common Factor Method

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Factors of 8154

List of positive integer factors of 8154 that divides 8154 without a remainder.

1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154

Greatest Common Factor

We found the factors 3198,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,8154 is 6.

Lets's calculate LCM of 626,494

2 626, 494
313, 247

∴ So the LCM of the given numbers is 2 x 313 x 247 = 154622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/154622

Therefore, the GCF of Fractions 3198/626,8154/494 is 6/154622

Least Common Multiple of 626,494 with GCF Formula

Least Common Multiple of 626,494 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 626,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,494) = 2

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

GCF(626,494) x common factors =2 x 1 = 2

LCM(626,494) = ( 626 × 494 ) / 2

LCM(626,494) = 309244 / 2

LCM(626,494) = 154622


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 3198/626, 8154/494

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 3198/626, 8154/494?

Answer: GCF of Numerators as per given numbers 3198/626, 8154/494 is

GCF of Numerators i.e. for 3198,8154 is 6

LCM of denominators i.e. for 626,494 is 154622.

Thus, GCF of Fractions is 6/154622.Finally, GCF of Fractions for 3198/626, 8154/494 is 6/154622.