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GCF of 4059/360, 6655/198

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 4059/360, 6655/198 i.e 11/3960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4059/360, 6655/198.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4059/360,6655/198?

Given fractions are 4059/360,6655/198

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4059/360,6655/198, numerators are 4059,6655

Denominators are 360,198

The GCF of 4059,6655 is 11 .

LCM of 360,198 is 3960.

The greatest common factor of 4059/360,6655/198 = [GCF of 4059,6655]/[LCM of 360,198]= 11/3960

Therefore, the GCF of 4059/360,6655/198 is 11/3960.

Greatest Common Factor of 4059,6655

To find the highest common factor of 4059,6655, we have to find the factors of both numbers and list the highest common factor.

The factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059

The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655

The HCF of 4059,6655 is 11.

Lets's calculate GCF of 4059,6655

Greatest Common Factor (GCF) of 4059,6655 By Common Division

11 4059, 6655
369, 605

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4059,6655 By Matching Biggest Common Factor Method

Greatest Common Factor of 4059,6655 By Matching Biggest Common Factor Method

Now, list down the factors of 4059

:

1,3,9,11,33,41,99,123,369,451,1353,4059

Now, list down the factors of 6655

:

1,5,11,55,121,605,1331,6655

Greatest Common Factor

We found the factors 4059,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 4059,6655 is 11.


Lets's calculate LCM of 360,198

Lowest Common Multiple of 360,198 using Common Division

2 360, 198
3 180, 99
3 60, 33
20, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 20 x 11 = 3960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3960

Therefore, the GCF of Fractions 4059/360,6655/198 is 11/3960

Least Common Multiple of 360,198 with GCF Formula

Least Common Multiple of 360,198 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 360,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,198) = 18

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

GCF(360,198) x common factors =18 x 1 = 18

LCM(360,198) = ( 360 × 198 ) / 18

LCM(360,198) = 71280 / 18

LCM(360,198) = 3960


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4059/360, 6655/198

1. What is the HCF of 4059,6655?

The HCF of 4059,6655 is 11

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4059/360, 6655/198?

Answer: GCF of Numerators as per given numbers 4059/360, 6655/198 is

GCF of Numerators i.e. for 4059,6655 is 11

LCM of denominators i.e. for 360,198 is 3960.

Thus, GCF of Fractions is 11/3960.Finally, GCF of Fractions for 4059/360, 6655/198 is 11/3960.