Greatest Common Factor of 6198/42, 9897/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6198/42, 9897/141

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 6198/42,9897/141

Given fractions are 6198/42,9897/141

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 6198,9897

Greatest Common Factor of Numerators i.e. GCF of 6198,9897 is 3 .

LCM of Denominators means LCM of 42,141 as per the given fractions.

LCM of 42,141 is 1974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6198,9897

GCF of Fractions 6198/42,9897/141 is 3/1974

3 6198, 9897
2066, 3299

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6198,9897 By Matching Biggest Common Factor Method

Greatest Common Factor of 6198,9897 By Matching Biggest Common Factor Method

Factors of 6198

List of positive integer factors of 6198 that divides 6198 without a remainder.

1,2,3,6,1033,2066,3099,6198

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Greatest Common Factor

We found the factors 6198,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 6198,9897 is 3.

Lets's calculate LCM of 42,141

3 42, 141
14, 47

∴ So the LCM of the given numbers is 3 x 14 x 47 = 1974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1974

Therefore, the GCF of Fractions 6198/42,9897/141 is 3/1974

Least Common Multiple of 42,141 with GCF Formula

Least Common Multiple of 42,141 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 42,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,141) = 3

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

GCF(42,141) x common factors =3 x 1 = 3

LCM(42,141) = ( 42 × 141 ) / 3

LCM(42,141) = 5922 / 3

LCM(42,141) = 1974


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 6198/42, 9897/141

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 6198/42, 9897/141?

Answer: GCF of Numerators as per given numbers 6198/42, 9897/141 is

GCF of Numerators i.e. for 6198,9897 is 3

LCM of denominators i.e. for 42,141 is 1974.

Thus, GCF of Fractions is 3/1974.Finally, GCF of Fractions for 6198/42, 9897/141 is 3/1974.