Greatest Common Factor of 4101/434, 3645/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4101/434, 3645/231

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 4101/434,3645/231

Given fractions are 4101/434,3645/231

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 4101,3645

Greatest Common Factor of Numerators i.e. GCF of 4101,3645 is 3 .

LCM of Denominators means LCM of 434,231 as per the given fractions.

LCM of 434,231 is 14322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4101,3645

GCF of Fractions 4101/434,3645/231 is 3/14322

3 4101, 3645
1367, 1215

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

Greatest Common Factor of 4101,3645 By Matching Biggest Common Factor Method

Greatest Common Factor of 4101,3645 By Matching Biggest Common Factor Method

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1,3,1367,4101

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,729,1215,3645

Greatest Common Factor

We found the factors 4101,3645 . The biggest common factor number is the GCF number.
So the greatest common factor 4101,3645 is 3.

Lets's calculate LCM of 434,231

7 434, 231
62, 33

∴ So the LCM of the given numbers is 7 x 62 x 33 = 14322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14322

Therefore, the GCF of Fractions 4101/434,3645/231 is 3/14322

Least Common Multiple of 434,231 with GCF Formula

Least Common Multiple of 434,231 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 434,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,231) = 7

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

GCF(434,231) x common factors =7 x 1 = 7

LCM(434,231) = ( 434 × 231 ) / 7

LCM(434,231) = 100254 / 7

LCM(434,231) = 14322


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 4101/434, 3645/231

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 4101/434, 3645/231?

Answer: GCF of Numerators as per given numbers 4101/434, 3645/231 is

GCF of Numerators i.e. for 4101,3645 is 3

LCM of denominators i.e. for 434,231 is 14322.

Thus, GCF of Fractions is 3/14322.Finally, GCF of Fractions for 4101/434, 3645/231 is 3/14322.