Greatest Common Factor of 4113/240, 4281/1789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4113/240, 4281/1789

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 4113/240,4281/1789

Given fractions are 4113/240,4281/1789

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 4113,4281

Greatest Common Factor of Numerators i.e. GCF of 4113,4281 is 3 .

LCM of Denominators means LCM of 240,1789 as per the given fractions.

LCM of 240,1789 is 429360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4113,4281

GCF of Fractions 4113/240,4281/1789 is 3/429360

3 4113, 4281
1371, 1427

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

Greatest Common Factor of 4113,4281 By Matching Biggest Common Factor Method

Greatest Common Factor of 4113,4281 By Matching Biggest Common Factor Method

Factors of 4113

List of positive integer factors of 4113 that divides 4113 without a remainder.

1,3,9,457,1371,4113

Factors of 4281

List of positive integer factors of 4281 that divides 4281 without a remainder.

1,3,1427,4281

Greatest Common Factor

We found the factors 4113,4281 . The biggest common factor number is the GCF number.
So the greatest common factor 4113,4281 is 3.

Lets's calculate LCM of 240,1789

Given numbers has no common factors except 1. So, there LCM is their product i.e 429360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/429360

Therefore, the GCF of Fractions 4113/240,4281/1789 is 3/429360

Least Common Multiple of 240,1789 with GCF Formula

Least Common Multiple of 240,1789 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 240,1789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,1789) = 1

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

GCF(240,1789) x common factors =1 x 1 = 1

LCM(240,1789) = ( 240 × 1789 ) / 1

LCM(240,1789) = 429360 / 1

LCM(240,1789) = 429360


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 4113/240, 4281/1789

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 4113/240, 4281/1789?

Answer: GCF of Numerators as per given numbers 4113/240, 4281/1789 is

GCF of Numerators i.e. for 4113,4281 is 3

LCM of denominators i.e. for 240,1789 is 429360.

Thus, GCF of Fractions is 3/429360.Finally, GCF of Fractions for 4113/240, 4281/1789 is 3/429360.