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GCF of 4198/129, 3729/2632

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 4198/129, 3729/2632 i.e 1/339528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4198/129, 3729/2632.

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 4198/129,3729/2632?

Given fractions are 4198/129,3729/2632

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 4198/129,3729/2632, numerators are 4198,3729

Denominators are 129,2632

The GCF of 4198,3729 is 1 .

LCM of 129,2632 is 339528.

The greatest common factor of 4198/129,3729/2632 = [GCF of 4198,3729]/[LCM of 129,2632]= 1/339528

Therefore, the GCF of 4198/129,3729/2632 is 1/339528.

Greatest Common Factor of 4198,3729

To find the highest common factor of 4198,3729, we have to find the factors of both numbers and list the highest common factor.

The factors of 4198 are 1, 2, 2099, 4198

The factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729

The HCF of 4198,3729 is 1.

Lets's calculate GCF of 4198,3729

Greatest Common Factor (GCF) of 4198,3729 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4198,3729 By Matching Biggest Common Factor Method

Greatest Common Factor of 4198,3729 By Matching Biggest Common Factor Method

Now, list down the factors of 4198

:

1,2,2099,4198

Now, list down the factors of 3729

:

1,3,11,33,113,339,1243,3729

Greatest Common Factor

We found the factors 4198,3729 . The biggest common factor number is the GCF number.
So the greatest common factor 4198,3729 is 1.


Lets's calculate LCM of 129,2632

Lowest Common Multiple of 129,2632 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 339528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339528

Therefore, the GCF of Fractions 4198/129,3729/2632 is 1/339528

Least Common Multiple of 129,2632 with GCF Formula

Least Common Multiple of 129,2632 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 129,2632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,2632) = 1

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

GCF(129,2632) x common factors =1 x 1 = 1

LCM(129,2632) = ( 129 × 2632 ) / 1

LCM(129,2632) = 339528 / 1

LCM(129,2632) = 339528


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4198/129, 3729/2632

1. What is the HCF of 4198,3729?

The HCF of 4198,3729 is 1

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 4198/129, 3729/2632?

Answer: GCF of Numerators as per given numbers 4198/129, 3729/2632 is

GCF of Numerators i.e. for 4198,3729 is 1

LCM of denominators i.e. for 129,2632 is 339528.

Thus, GCF of Fractions is 1/339528.Finally, GCF of Fractions for 4198/129, 3729/2632 is 1/339528.