Greatest Common Factor of 3198/98, 9852/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3198/98, 9852/266

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 3198/98,9852/266

Given fractions are 3198/98,9852/266

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 3198,9852

Greatest Common Factor of Numerators i.e. GCF of 3198,9852 is 6 .

LCM of Denominators means LCM of 98,266 as per the given fractions.

LCM of 98,266 is 1862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3198,9852

GCF of Fractions 3198/98,9852/266 is 6/1862

2 3198, 9852
3 1599, 4926
533, 1642

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

Greatest Common Factor of 3198,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 3198,9852 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 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 3198,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,9852 is 6.

Lets's calculate LCM of 98,266

2 98, 266
7 49, 133
7, 19

∴ So the LCM of the given numbers is 2 x 7 x 7 x 19 = 1862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1862

Therefore, the GCF of Fractions 3198/98,9852/266 is 6/1862

Least Common Multiple of 98,266 with GCF Formula

Least Common Multiple of 98,266 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 98,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,266) = 14

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

GCF(98,266) x common factors =14 x 1 = 14

LCM(98,266) = ( 98 × 266 ) / 14

LCM(98,266) = 26068 / 14

LCM(98,266) = 1862


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 3198/98, 9852/266

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 3198/98, 9852/266?

Answer: GCF of Numerators as per given numbers 3198/98, 9852/266 is

GCF of Numerators i.e. for 3198,9852 is 6

LCM of denominators i.e. for 98,266 is 1862.

Thus, GCF of Fractions is 6/1862.Finally, GCF of Fractions for 3198/98, 9852/266 is 6/1862.