Greatest Common Factor of 4293/335, 4346/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4293/335, 4346/205

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 4293/335,4346/205

Given fractions are 4293/335,4346/205

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 4293,4346

Greatest Common Factor of Numerators i.e. GCF of 4293,4346 is 53 .

LCM of Denominators means LCM of 335,205 as per the given fractions.

LCM of 335,205 is 13735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4293,4346

GCF of Fractions 4293/335,4346/205 is 53/13735

53 4293, 4346
81, 82

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 4293,4346 By Matching Biggest Common Factor Method

Greatest Common Factor of 4293,4346 By Matching Biggest Common Factor Method

Factors of 4293

List of positive integer factors of 4293 that divides 4293 without a remainder.

1,3,9,27,53,81,159,477,1431,4293

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1,2,41,53,82,106,2173,4346

Greatest Common Factor

We found the factors 4293,4346 . The biggest common factor number is the GCF number.
So the greatest common factor 4293,4346 is 53.

Lets's calculate LCM of 335,205

5 335, 205
67, 41

∴ So the LCM of the given numbers is 5 x 67 x 41 = 13735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/13735

Therefore, the GCF of Fractions 4293/335,4346/205 is 53/13735

Least Common Multiple of 335,205 with GCF Formula

Least Common Multiple of 335,205 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 335,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,205) = 5

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

GCF(335,205) x common factors =5 x 1 = 5

LCM(335,205) = ( 335 × 205 ) / 5

LCM(335,205) = 68675 / 5

LCM(335,205) = 13735


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 4293/335, 4346/205

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 4293/335, 4346/205?

Answer: GCF of Numerators as per given numbers 4293/335, 4346/205 is

GCF of Numerators i.e. for 4293,4346 is 53

LCM of denominators i.e. for 335,205 is 13735.

Thus, GCF of Fractions is 53/13735.Finally, GCF of Fractions for 4293/335, 4346/205 is 53/13735.