Greatest Common Factor of 4035/23, 1314/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4035/23, 1314/333

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 4035/23,1314/333

Given fractions are 4035/23,1314/333

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 4035,1314

Greatest Common Factor of Numerators i.e. GCF of 4035,1314 is 3 .

LCM of Denominators means LCM of 23,333 as per the given fractions.

LCM of 23,333 is 7659 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4035,1314

GCF of Fractions 4035/23,1314/333 is 3/7659

3 4035, 1314
1345, 438

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

Greatest Common Factor of 4035,1314 By Matching Biggest Common Factor Method

Greatest Common Factor of 4035,1314 By Matching Biggest Common Factor Method

Factors of 4035

List of positive integer factors of 4035 that divides 4035 without a remainder.

1,3,5,15,269,807,1345,4035

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Greatest Common Factor

We found the factors 4035,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 4035,1314 is 3.

Lets's calculate LCM of 23,333

Given numbers has no common factors except 1. So, there LCM is their product i.e 7659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7659

Therefore, the GCF of Fractions 4035/23,1314/333 is 3/7659

Least Common Multiple of 23,333 with GCF Formula

Least Common Multiple of 23,333 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 23,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,333) = 1

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

GCF(23,333) x common factors =1 x 1 = 1

LCM(23,333) = ( 23 × 333 ) / 1

LCM(23,333) = 7659 / 1

LCM(23,333) = 7659


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 4035/23, 1314/333

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 4035/23, 1314/333?

Answer: GCF of Numerators as per given numbers 4035/23, 1314/333 is

GCF of Numerators i.e. for 4035,1314 is 3

LCM of denominators i.e. for 23,333 is 7659.

Thus, GCF of Fractions is 3/7659.Finally, GCF of Fractions for 4035/23, 1314/333 is 3/7659.